Recently discovered long-term oscillations of the solar backgroundmagnetic field associated with double dynamo waves generated in inner and outerlayers of the Sun indicate that the solar activity is heading in the next threedecades (2019–2055) to a Modern grand minimum similar to Maunder one. On the otherhand, a reconstruction of solar total irradiance suggests that since the Maunderminimum there is an increase in the cycle-averaged total solar irradiance (TSI) by avalue of about 1–1.5 Wm−2 closely correlated with an increaseof the baseline (average) terrestrial temperature. In order to understand these twoopposite trends, we calculated the double dynamo summary curve of magnetic fieldvariations backward one hundred thousand years allowing us to confirm strongoscillations of solar activity in regular (11 year) and recently reported grand(350–400 year) solar cycles caused by actions of the double solar dynamo. Inaddition, oscillations of the baseline (zero-line) of magnetic field with a periodof 1950 ± 95 years (a super-grand cycle) are discovered by applying a runningaveraging filter to suppress large-scale oscillations of 11 year cycles. Latestminimum of the baseline oscillations is found to coincide with the grand solarminimum (the Maunder minimum) occurred before the current super-grand cycle start.Since then the baseline magnitude became slowly increasing towards its maximum at2600 to be followed by its decrease and minimum at ~3700. These oscillations of thebaseline solar magnetic field are found associated with a long-term solar inertialmotion about the barycenter of the solar system and closely linked to an increase ofsolar irradiance and terrestrial temperature in the past two centuries. This trendis anticipated to continue in the next six centuries that can lead to a furthernatural increase of the terrestrial temperature by more than 2.5 °C by 2600.