Abstract

We present a numerical illumination model to calculate direct as well as diffuse or Hapke scattered radiation scenarios on arbitrary planetary surfaces. This includes small body surfaces such as main belt asteroids as well as e.g., the lunar surface. The model is based on the ray tracing method. This method is not restricted to spherical or ellipsoidal shapes but digital terrain data of arbitrary spatial resolution can be fed into the model. Solar radiation is the source of direct radiation, wavelength-dependent effects (e.g. albedo) can be accounted for. Mutual illumination of individual bodies in implemented (e.g. in binary or multiple systems) as well as self-illumination (e.g. crater floors by crater walls) by diffuse or Hapke radiation. The model is validated by statistical methods. A test is utilized to compare simulated images with DAWN images acquired during the survey phase at small body 4 Vesta and to successfully prove its validity.

Highlights

  • Reliable prediction or at least estimation of illumination conditions on the surface of planetary bides or small bodies like asteroids or comet cores is essential for mission planning purposes

  • As solar radiation is in general the major source of energy on the surface of a small, atmosphereless body in space, a simulation suite for calculation of the surface radiative intensity delivers boundary conditions for any thermal model of the surface

  • Surfaces can be of arbitrary shape, i.e. do not need to be convex but can have edges, bulges, juts and overhangs, consider e.g. (25143) Itokawa Surfaces can have arbitrary spatial resolution, triangles of almost sizes can be handled simultanously in the same data set

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Summary

12. April 2018

We present a numerical illumination model to calculate direct as well as diffuse or Hapke scattered radiation scenarios on arbitrary planetary surfaces. This includes small body surfaces such as main belt asteroids as well as e.g. the lunar surface. The model is based on the raytracing method. This method is not restricted to spherical or ellipsiodal shapes but digital terrain data of arbitrary spatial resolution can be fed into the model. Mutual illumination of individual bodies in implemented (e.g. in binary or multiple systems) as well as self-illumination (e.g. crater floors by crater walls) by diffuse or Hapke radiation. A χ2 test is undertaken to compare simnulated images with DAWN images acquired during the survey phase at small body 4 Vesta

Introduction
Illumination Analysis
Small body data model
Ephemerides
Radiation
Direct radiation
Backscatter and Diffuse radiation
Remark on Multiple Bodies
Mutual Shadowing
Illumination Statistic
Validation
Statistical Analysis
10 Conclusions and outlook
Literatur

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