First discovery of planet orbiting dead star provides glimpse into our solar system's future

The red giant phase will be in about 5 billion years, but as the sun ages, its luminosity increases. So, long before that, perhaps 1-2 billion years, the Earth will be warm enough to vaporize the oceans. It be like Venus.
 
Some other reports on this find. We've spotted a planet surviving its dying star – here's what it tells us about end of our Solar System, https://phys.org/news/2021-10-weve-planet-surviving-dying-star.html

Reference paper, A Jovian analogue orbiting a white dwarf star, https://www.nature.com/articles/s41586-021-03869-6, 13-Oct-2021. "Abstract Studies1,2 have shown that the remnants of destroyed planets and debris-disk planetesimals can survive the volatile evolution of their host stars into white dwarfs3,4, but few intact planetary bodies around white dwarfs have been detected5,6,7,8. Simulations predict9,10,11 that planets in Jupiter-like orbits around stars of ≲8 M☉ (solar mass) avoid being destroyed by the strong tidal forces of their stellar host, but as yet, there has been no observational confirmation of such a survivor. Here we report the non-detection of a main-sequence lens star in the microlensing event MOA-2010-BLG-477Lb12 using near-infrared observations from the Keck Observatory..."

My observation. Using host star mass 0.53 Msun, exoplanet mass 1.4 Mjup, a=2.8 au, e=0, orbital period could be 6.4279 years. In one billion years, this Jovian analogue orbiting the white dwarf star host could complete 1.5557 x 10^8 revolutions. Verifying this is not possible using direct observation. The model presented here is based upon stellar evolution theory and how the white dwarf evolved from a ZAMS star to white dwarf star, and the Jovian analogue survived all the postulated stellar evolution changes in the system. The model explanation is unlike observations of the Galilean moons moving around Jupiter that are direct observations used to challenge geocentric astronomy during the days of Galileo.