Excess Momentum Research Articles

Unveiling the 3D structure of magnetosheath jets

ABSTRACT Magnetosheath jets represent localized enhancements in dynamic pressure observed within the magnetosheath. These energetic entities, carrying excess energy and momentum, can impact the magnetopause and disrupt the magnetosphere. Therefore, they play a vital role in coupling the solar wind and terrestrial magnetosphere. However, our understanding of the morphology and formation of these complex, transient events remains incomplete over two decades after their initial observation. Previous studies have relied on oversimplified assumptions, considering jets as elongated cylinders with dimensions ranging from $0.1\, R_{\rm E}$ to $5\, R_{\rm E}$ (Earth radii). In this study, we present simulation results obtained from Amitis, a high-performance hybrid-kinetic plasma framework (particle ions and fluid electrons) running in parallel on graphics processing units (GPUs) for fast and more environmentally friendly computation compared to CPU-based models. Considering realistic scales, we present the first global, three-dimensional (3D in both configuration and velocity spaces) hybrid-kinetic simulation results of the interaction between solar wind plasma and the Earth. Our high-resolution kinetic simulations reveal the 3D structure of magnetosheath jets, showing that jets are far from being simple cylinders. Instead, they exhibit intricate and highly interconnected structures with dynamic 3D characteristics. As they move through the magnetosheath, they wrinkle, fold, merge, and split in complex ways before a subset reaches the magnetopause.

Testing Illiquidity and Momentum Factors with Asset Pricing: Evidence from Emerging Capital Markets of South Asia

This paper explores the asset pricing factors which pose aggregate risk to the portfolio returns in the Pakistan Stock Exchange (PSX). The purpose is to test the illiquidity and momentum factors along with the well-documented three factors in asset pricing model using Fama and French (2015) and Lam and Tam (2011) for one of the emerging markets of South Asia, i.e., Pakistan, using 20-year monthly data from January 2001 to December 2020. This paper adopts the methodology of Fama and French (2015) as used in the developed market and Lam and Tam (2011) for the emerging market phenomenon, to formulate the portfolio returns based on Size, Book-to-Market(BM), and the Liquidity, and test these returns against the factors causing the return variations. The results based on the 3-factor model, liquidity-adjusted model, and the momentum-based model validate factors of excess market return (CAPM), size, value, liquidity, and momentum as significant risk factors in explaining the variations in portfolio returns of PSX stocks. The portfolio access returns for PSX stocks are adjusted for risk factors with mixed significant response holding average explanatory power. Our results are robust to the GRS F-test.

Developing an Empirical Relations between Nash Model Parameters and Watersheds Topographical Characteristics for Predicting Direct Runoff Hydrograph

The limited availability of the recorded rainfall-runoff data for many watersheds restricts the development and management of different activities of water resources. To overcome this limitation, the Natural Resources Conservation Service (NRCS) for estimating storm excess rainfall and momentum and optimization methods were combined in a mathematical model to estimate the optimal parameters of Nash Instantaneous unit hydrograph (IUH) and resulting direct runoff hydrograph (DRH), using a developed computer program in MATLAB. The available recorded data of 14 storms (out of 18) of four watersheds in northern Iraq have been applied in the calibration stage. An empirical relationship was developed between the average of each IUH optimal parameter (obtained by optimization as an optimal method according to the applied tests) and the effective watershed topographical characteristics. The developed empirical relations were used in the verification stage to estimate the IUH parameters and DRH for the verification storms and compare with that resulted from Haan’s empirical relations and optimization method. The statistical tests showed that the developed empirical relations efficiency was better than that of Haan’s method and close to that of the recorded storm by optimization method, where the average value of the Nash-Sutcliffe Efficiency for the four watersheds resulted from applying the optimization method, Haan’s method and the developed empirical relations were 0.925, 0.587, 0.883 respectively. The results indicated the developed model’s ability to estimate the IUH and direct runoff hydrograph for ungauged watersheds in northern Iraq.

Extrapolative beliefs about Bitcoin returns

Using survey data from Sentix which records whether investors are bullish, bearish, or neutral about the future price of Bitcoin, we examine how investors form expectations about Bitcoin returns. We use a model for expectations with an exponential decay of weights on past returns and find that investors extrapolate from Bitcoin’s past returns in a way that puts more weight on more recent returns. Compared to institutional investors, individuals display a higher degree of extrapolation, consistent with the perception that nonprofessionals are more prone to behavioral biases. The extrapolative component of expectations is a significant predictor of Bitcoin returns in the short term, however, its explanatory power is small. Understanding how investors in the cryptocurrency market form their beliefs is important because variation in beliefs could affect Bitcoin price dynamics and potentially lead to excess volatility, momentum, and reversal.

Influence of Wave-Induced Radiation Stress on Upper-Layer Ocean Temperature during Typhoons

Radiation stress is defined as the excess momentum caused by ocean waves, which exerts an indispensable impact on the upper-layer ocean conditions as waves pass by. Previous research concentrated on sea surface cooling caused by typhoons. In this paper, we investigated the effect of wave-induced radiation stress on upper-layer ocean temperature (including sea surface temperature (SST) and mixed-layer temperature) under typhoon conditions, as well as the effect of radiation stress on the surface current field. The FVCOM-SWAVE model, which is based on the SWAN model, is used to simulate the response of upper-layer ocean temperature to radiation stress. The simulated results, when validated with Jason-3 satellite and ARGO data, could reproduce the observed phenomenon well in general. Compared to simulations without radiation stress, the bias in the SST results is reduced by about 1 °C if the radiation stress term is taken into account. The mixed-layer depth temperature is expected to be simulated more accurately, with a root mean square error (RMSE) of less than 1.63 °C and a correlation coefficient (COR) of about 0.94. Results show that wave-induced radiation stress enhances the surface current and causes certain deviations to the right so that the upper water diverges and upwelling increases, resulting in a decrease in SST. When the influence of double typhoons is considered, the airflow of LEKIMA(L) rotates from the northwest toward KROSA (R), limiting the development of significant wave height (SWH) and reducing the cooling range. As a result, the present study is of tremendous importance in precisely forecasting the ocean state of the western North Pacific (WNP).

Blockchain-based traceability system adoption decision in the dual-channel perishable goods market under different pricing policies

The blockchain-based traceability system (BTS) can reduce product losses in the perishable goods market, which yields a loss-reduction effect, and offer authentic information, which triggers a premium effect. In a dual-channel perishable goods supply chain (DPGSC), including one supplier and retailer each, the supplier can operate the price of the direct channel, different or non-different from that of the traditional channel. To study the adoption of BTS in the supplier-led DPGSC, we employed a game-theoretical model to capture BTS adoption strategy under the differential and non-differential pricing policies and proposed an improved cost-sharing contract to boost the DPGSC performance. The results indicated that both the supplier and the retailer are willing to improve product quality, broaden the saleable region, and lower the production cost. The adoption of BTS mainly depends on the losses-reduction effect, premium effect, production cost, and tag cost, which is affected more by the premium effect than by the loss-reduction effect. Furthermore, their adoption is not always easier when the production cost is higher. Except for symmetric base demands, they benefit asynchronously from BTS. Synchronised adoptions can be realised only when the improved cost-sharing contract generates more profits and introduces excess momentum. Highlights Blockchain-based traceability system handles product losses and forged information Adoption decision-making processes under two different pricing policies are studied In the adoption process, the premium effect outweighs the loss-reduction effect Contract may introduce insufficient momentum, excess momentum, or new inefficiency Once excess momentum is formed, supply chain members' adoptions become synchronised

JT gravity and near-extremal thermodynamics for Kerr black holes in AdS4,5 for rotating perturbations

We study the near horizon 2d gravity theory which captures the near extremal thermodynamics of Kerr black holes where a linear combination of excess angular momentum δJ and excess mass δM is held fixed. These correspond to processes where both the mass and the angular momenta of extremal Kerr black holes are perturbed leaving them near extremal. For the Kerr AdS4 we hold delta J-mathcal{L}delta M=0 while for Myers-Perry(MP) type Kerr black hole in AdS5 we hold delta {J}_{varphi 1,2}-{mathcal{L}}_{varphi 1,2}delta M=0 . We show that in near horizon, the 2d Jackiw-Teitelboim theory is able to capture the thermodynamics of the higher dimensional black holes at small near extremal temperatures TH. We show this by generalizing the near horizon limits found in literature by parameters mathcal{L} and {mathcal{L}}_{varphi 1,2} for the two geometries. The resulting JT theory captures the near extremal thermodynamics of such geometries provided we identify the temperature {T}_H^{(2)} of the near horizon AdS2 geometry to be {T}_H^{(2)}={T}_H/left(1-mu mathcal{L}right) for 4d Kerr and {T}_h^2={T}_H/left(-mu left({mathcal{L}}_{varphi 1}+{mathcal{L}}_{varphi 2}right)right) for 5d Kerr μ is their chemical potential, with mu mathcal{L}<1 and mu left({mathcal{L}}_{varphi 1}+{mathcal{L}}_{varphi 2}right)<1 respectively. We also argue that such a theory embeds itself non-trivially in the higher dimensional theorydual to the Kerr geometries.

Profitability of momentum investing strategies in an emerging market

This paper examines the profitability of momentum strategies on the Nigerian stock market over a 20-year period, from 1996 to 2016, using all listed equities on the Nigeria Exchange Limited (NGX) All Share Index. It also evaluates whether or not the profitability of momentum strategies is conditional upon the state of the market. A momentum strategy creates and buys a portfolio of past winners and short-sells a portfolio of past losers to generate excess profit. Our result shows that the Nigerian stock market exhibits medium-term price momentum, with eight out of sixteen strategies recording statistically significant excess momentum returns. The main contribution to the profit is from investing in winner portfolios, all of which recorded positive returns, and mostly significant. Evidence also shows that momentum profits depend on the state of the market. The momentum effect follows the UP market with a mean return of 0.2938%, while it is insignificant in the DOWN market with a mean return of -0.0237%. This paper offers valuable insight into market behavior, highlights the opportunities for alpha generation, and contributes to our understanding of market efficiency in emerging markets.

Experimental study, dimensional analysis and an integral model for horizontal buoyant turbulent jet fires under opposing wind

This work demonstrates a comprehensive model for horizontal turbulent jet flame geometries under opposing wind, for which few data or models can be found in the literature. This situation can be a practical scenario of offshore drilling platform with a horizontal flare under opposing wind. The opposing wind pushes the jet flame back, which eventually turns around and upwards, pointing finally downstream in the windward direction. The flame geometries are characterized by four parameters including horizontal length and vertical height from nozzle exit to the location of farthest point that flame envelope could reach before the flame turns around as well as horizontal length and vertical height from nozzle exit to the location of flame tip. Experiments are carried out for horizontal jets discharged from circular nozzles having diameters of 3, 5, 7 and 9 mm and employing propane as fuel with opposing wind speeds from 0.35 to 1.08 m/s. The locations of flame tip and the flame farthest point decrease with increasing opposing wind for a constant heat release rate. Dimensional analysis is derived from a physical model considering the momentum of fuel jet, flame buoyancy due to the flame temperature rise, opposing wind momentum and normalized flow rate at stoichiometric conditions at flame tip. The normalized flame geometry parameters based on the proposed model are well represented by two characteristic length scales derived by accounting for the interaction between excess jet-wind momentum and flame buoyancy as well as that between opposing wind momentum and flame buoyancy. In addition, the normalized mass flow rate at stoichiometric conditions determines the total length of flame trajectory. Moreover, an integral model is deduced by an air entrainment model and top hat profiles for the mass and momentum conservations to predict well the flame geometries of horizontal jet fires under opposing wind.

Controlled Comparison of Simulated Hemodynamics Across Tricuspid and Bicuspid Aortic Valves.

Bicuspid aortic valve is the most common congenital heart defect, affecting 1-2% of the global population. Patients with bicuspid valves frequently develop dilation and aneurysms of the ascending aorta. Both hemodynamic and genetic factors are believed to contribute to dilation, yet the precise mechanism underlying this progression remains under debate. Controlled comparisons of hemodynamics in patients with different forms of bicuspid valve disease are challenging because of confounding factors, and simulations offer the opportunity for direct and systematic comparisons. Using fluid-structure interaction simulations, we simulate flows through multiple aortic valve models in a patient-specific geometry. The aortic geometry is based on a healthy patient with no known aortic or valvular disease, which allows us to isolate the hemodynamic consequences of changes to the valve alone. Four fully-passive, elastic model valves are studied: a tricuspid valve and bicuspid valves with fusion of the left- and right-, right- and non-, and non- and left-coronary cusps. The resulting tricuspid flow is relatively uniform, with little secondary or reverse flow, and little to no pressure gradient across the valve. The bicuspid cases show localized jets of forward flow, excess streamwise momentum, elevated secondary and reverse flow, and clinically significant levels of stenosis. Localized high flow rates correspond to locations of dilation observed in patients, with the location related to which valve cusps are fused. Thus, the simulations support the hypothesis that chronic exposure to high local flow contributes to localized dilation and aneurysm formation.

Electrons and X-rays to Muon Pairs (EXMP)

One of the challenges of future muon colliders involves the production of muon beams carrying high phase space densities. In particular, the muon beam normalised transverse emittance is a relevant figure of merit used to meet luminosity requests. A typical issue impacting the achieved transverse emittance in muon collider schemes, thus far considered, is the phase space dilution caused by the Coulomb interaction of primary particles propagating into the target where muons were generated. In this study, we present a new scheme(named electrons and X-rays to muon pairs) for muon beam generation occurring in a vacuum via interactions of electron and photon beams. Setting the center of mass energy at about twice the threshold (i.e., around 350 MeV), the normalised emittance of the muon beam generated via muon pair production reaction (e−+γ→e−+μ++μ−) is largely independent on the emittance of the colliding electron beam and is set basically by the excess of transverse momentum in the muon pair creation. In absence of any other mechanism for emittance dilution, the resulting muon beam, with energy in the range of a few tens of GeV, is characterised by an ultra-low normalised transverse RMS emittance of a few nm rad, corresponding to a geometrical emittance below 10 π pm rad. This opens up the way to a new muon collider paradigm based on muon sources conceived with primary colliding beams delivered by 100 GeV-class energy recovery LINACs interacting with hard-X ray free electron lasers. The challenge is to achieve the requested luminosity of the muon collider adopting a strategy of low muon fluxes/currents combined to ultra-low emittances, to largely reduce the levels of muon beam-induced backgrounds.

M 1–92 Revisited: New Findings and Open Questions: New NOEMA Observations of Minkowski’s Footprint

PN M 1–92, also known as Minkowski’s Footprint, is a textbook example of a massive pre-planetary nebula. It presents all the characteristics of this type of source: non-spherical symmetry (bipolar cylindrical symmetry in this case), high-velocity gas emission, large amounts of linear momentum and kinetic energy (momentum excess), and a self-similar growing structure. We have revisited this object by performing new NOEMA observations (with half arc-second resolution) of a wealth of molecules, including the rare isotopologues of CO, as well as other less abundant species. These maps provide new insights into the origin of this source. Our findings include the discovery of molecular species in the ionised regions of the nebula, confirming its shocked origin; the structure of the massive equatorial component, including the presence of active wind collisions; and the strong evidence that the AGB evolution of the source was terminated prematurely, probably due to the huge mass loss event that resulted in the formation/acceleration of the present nebula.

수직 점프 공중 비틀기 동작에서 도약 시 회전량 조절을 위한 힘 발현 전략

The purpose of this study was to identify the force production strategy to control the amount of twist in preparation motion for vertical jump aerial twist on taekwondo demonstration players. Total eleven taekwondo demonstration players were performed aerial twisting jump (180°, 360°, 360°/2), respectively. Ten Vicon cameras and two force plates were used to collect the kinetic variables. The horizontal GRF and torque in maximum vertical GRF(event 2), linear and angular impulse during immediately before take-off(event 1~event 3) were analyzed. At the moment of the jump, the center of the right foot pressure moves to the forefoot and uses a strategy to push the ground of the right foot backward, and although the principle of obtaining rotational force is the same, the adjustment of the amount of rotational force is performed by selecting various unique combinations for each subject. As the amount of rotation increases, the players systematically deform the rotational force by pushing the ground reaction force of both feet back and forth stronger. Based on 360°rotational vertical jump aerial twisting, a natural human exercise strategy appears to generate excess momentum to safely succeed, and the remaining excess is used to absorb and dissipate body joints while landing.

Timing Excess Returns: A Cross-Universe Approach to Alpha

We present a simple model that uses time series momentum in order to construct strategies that systematically outperform their benchmark. The simplicity of our model is elegant: We only require a benchmark time series and several related investable indizes, not requiring regression or other models to estimate our parameters. We find that our one size fits all approach delivers significant outperformance in both equity and bond markets while meeting the ex-ante risk requirements, nearly doubling yearly returns vs. the MSCI World and Bloomberg Barclays Euro Aggregate Corporate Bond benchmarks in a long-only backtest. We then combine both approaches into an absolute return strategy by benchmarking vs. the Eonia Total Return Index and find significant outperformance at a sharpe ratio of 1.8. Furthermore, we demonstrate that our model delivers a benefit versus a static portfolio with fixed mean weights, showing that timing of excess return momentum has a sizeable benefit vs. static allocations. This also applies to the passively investable equity factors, where we outperform a static factor exposure portfolio with statistical significance. Also, we show that our model delivers an alpha after deducting transaction costs.

Power Balance Analysis Experiments on an Axisymmetric Fuselage with an Integrated Boundary-Layer-Ingesting Fan

Boundary Layer Ingestion (BLI) is a promising propulsion integration technology capable of enhancing aircraft propulsive efficiency. The Propulsive Fuselage Concept (PFC), a tube-and-wing configuration with an aft-fuselage-mounted BLI propulsor, is particularly suited for BLI. Although extensively studied on a system level, the aerodynamic performance of the PFC, resulting from the complex interaction between the airframe and the propulsor, is still largely uncharted. In this paper, the results of wind-tunnel tests on a simplified PFC model are presented. The model featured an axisymmetric fuselage body with an integrated BLI shrouded fan. Flowfield measurements were performed through particle image velocimetry to analyze the key aerodynamic phenomena and to assess the distribution of momentum and mechanical energy around the aft-fuselage propulsor. Results show that the BLI fan alters the surrounding flowfield by increasing the mass flow in the inner part of the fuselage boundary layer and by reducing the boundary-layer thickness. Moreover, the power analysis indicates that the potential benefit of BLI is strongly dependent on the fan setting. Increasing the fan shaft power leads to a higher amount of power dissipated in the near wake. However, an increasing share of the energy flux is associated with the momentum excess contained in the wake.

Excess momentum or excess inertia: Do companies adopt technologies at the right time?✰,✰✰,★,★★

Drawing on the literature on organizational change, technological change, and inertia, this paper explores how the moment that companies choose to initiate a technological change relative to other companies from the same regional and industrial context influences the company's performance. In particular, we test the excess inertia and excess momentum phenomena that refer to timely and untimely technological shifts in companies. A data set comprising about 1000 of the largest Russian companies, affiliated with 19 industries, located in most of the Russian regions, for 10 years starting from 2008, is used. Applying a multi-level approach of hierarchical linear modeling, we estimated the region environment effect and the industry effect on sales and productivity. The use of moderation effects of the correspondent technology adoption with the average lag or lead from the representative company in the industry or region, could help us demonstrate what digital technologies are probably associated with the excess inertia and the excess momentum phenomena on the industry and regional level. The results reveal that the industry effect is a major determinant of firm productivity, whereas sales are mainly influenced by the region effect. Our investigation also found that companies are more likely to exhibit excess inertia rather than excess momentum.

Many-body theory of radiative lifetimes of exciton-trion superposition states in doped two-dimensional materials

Optical absorption and emission spectra of doped two-dimensional (2D) materials exhibit sharp peaks that are often identified with pure excitons and pure trions (or charged excitons), but both peaks have been recently attributed to superpositions of 2-body exciton and 4-body trion states and correspond to the approximate energy eigenstates in doped 2D materials. In this paper, we present the radiative lifetimes of these exciton-trion superposition energy eigenstates using a many-body formalism that is appropriate given the many-body nature of the strongly coupled exciton and trion states in doped 2D materials. Whereas the exciton component of these superposition eigenstates are optically coupled to the material ground state, and can emit a photon and decay into the material ground state provided the momentum of the eigenstate is within the light cone, the trion component is optically coupled only to the excited states of the material and can emit a photon even when the momentum of the eigenstate is outside the light cone. In an electron-doped 2D material, when a 4-body trion state with momentum outside the light cone recombines radiatively, and a photon is emitted with a momentum inside the light cone, the excess momentum is taken by an electron-hole pair left behind in the conduction band. The radiative lifetimes of the exciton-trion superposition states, with momenta inside the light cone, are found to be in the few hundred femtoseconds to a few picoseconds range and are strong functions of the doping density. The radiative lifetimes of exciton-trion superposition states, with momenta outside the light cone, are in the few hundred picoseconds to a few nanoseconds range and are again strongly dependent on the doping density.

Análise Climatológica das trajetórias de Ciclones Extratropicais formados na região da Península Antártica

Cyclones play an important role in the general circulation of the atmosphere, enabling the meridional transport of excess heat, humidity and momentum from low latitudes to high latitudes. In the Southern Hemisphere, the area between southern Brazil and the Peninsula Antarctica (AP) is described as one of the most favorable for the formation of cyclones (30°S to 70°S) due to the existence of strong temperature gradient between the ocean and the surface air layer above the ocean and also because of pre-existing baroclinic instabilities. This study is associated with the Project ATMOS (AnTarctic Modeling Observation System) and explored the role of extratropical cyclones in teleconnections between high and medium latitudes to track the trajectories of extratropical cyclones that are formed in the Antarctic Peninsula (AP) and move towards the central sector of the South Atlantic. The analysis of the tracked trajectories showed that the cyclones reached the central sector of the South Atlantic during the months of autumn (greater number) and winter (greater displacement), while the statistical analysis indicated that the intensity of the cyclones is more linearly linked to the mean sea level pressure field than to Superficial Sea Temperature Anomalies.

Information measures through velocity time series in a seepage affected alluvial sinuous channel

Alluvial channels with sinuosity follow an altered flow behavior, contradictory to straight flows. At the interface of surface water and groundwater, seepage is a significant phenomenon occurring at the boundary of alluvial channels. The study of turbulence in seepage affected sinuous alluvial channels would thus provide us with a better insight into their hydro-morphological behavior. To address the nature of turbulence in sinuous channel with downward seepage an experimental framework was design. The paper reports the structure of turbulence in the sinuous channel for no seepage and seepage flow. With downward seepage, there is a noticeable shift of Reynolds shear stress at near-bed, which reports more momentum transport. The average streamwise and transverse turbulence intensity increased by 3.8–18.5% and 4–10.6%, respectively with downward seepage. Calculation of Kolmogorov complexity and the Kolmogorov complexity spectrum suggests higher randomness in the outer region, which can be associated with excess momentum transport. In the lower flow depth $$ \left( {{\text{z}}/{\text{h}}} = 0.2 \right)$$ , the randomness in the transverse velocities is higher in the outer region of the bend for about 25% and 38% compared to the central and inner region of the bend, respectively. With downward seepage, randomness increased especially in the outer region. This increase in randomness may report the erosive action in the outer part of the bend. Permutation entropy provided an informative measure to study the complex behavior of the transverse velocity time-series, which we found to be higher in the outer flow zone. For downward seepage, mean of entropy increased across the bend. The turbulent flow alterations and increase in randomness with seepage may be helpful to understand the flow in seepage affected sinuous alluvial channels.

Tidal Evolution of the Evection Resonance/Quasi‐Resonance and the Angular Momentum of the Earth‐Moon System

AbstractForming the Moon by a high‐angular momentum impact may explain the Earth‐Moon isotopic similarities; however, the post‐impact angular momentum needs to be reduced by a factor of 2 or more to the current value (1 LEM) after the Moon forms. Capture into the evection resonance, occurring when the lunar perigee precession period equals 1 year, could remove the angular momentum excess. However the appropriate angular momentum removal appears sensitive to the tidal model and chosen tidal parameters. In this work, we use a constant‐time delay tidal model to explore the Moon's orbital evolution through evection. We find that exit from formal evection occurs early and that, subsequently, the Moon enters a quasi‐resonance regime, in which evection still regulates the lunar eccentricity even though the resonance angle is no longer librating. Although not in resonance proper, during quasi‐resonance angular momentum is continuously removed from the Earth‐Moon system and transferred to Earth's heliocentric orbit. The final angular momentum, set by the timing of quasi‐resonance escape, is a function of the ratio of tidal strength in the Moon and Earth and the absolute rate of tidal dissipation in the Earth. We consider a physically motivated model for tidal dissipation in the Earth as the mantle cools from a molten to a partially molten state. We find that as the mantle solidifies, increased terrestrial dissipation drives the Moon out of quasi‐resonance. For post‐impact systems that contain &gt;2 LEM, final angular momentum values after quasi‐resonance escape remain significantly higher than the current Earth‐Moon value.