Putin's natal Pluto at 148°16' is conjunct Trump's natal Mars at 149°26'.
"Donald Trump campaigned as a tough guy candidate, but he's proven to be a weak president — especially with Russia. Lawrence O'Donnell examines Trump's behavior with Vladimir Putin culminating in the reluctant signing of the sanctions bill."
http://www.msnbc.com/the-last-word/watch/lawrence-why-is-trump-so-afraid-of-putin-1016050243736
With the possibility that Trump could be impeached or, like Nixon, resign before that happens looking at Nov 3, 2020 it does not appear that Pence will even be running (thinking there would be more than 1 possible aspect to either his natal or progressed chart. Nothing close except for transit Neptune at 18°20' Pisces square natal Sun (noon chart) 16°09' Gemini. Could he have been driven from office before then or been beaten in the primary races?
Transit Saturn to Pence natals (NOON CHART). All aspects except the last one occur before the mid-term elections in 2018. Looking at other charts (returns, eclipses, etc.) is still to be done.
If there is a massive house cleaning before 2018 the following aspects can be disregarded.
If trump should resign this Fall and Pence assumes the office could the following aspects indicate an ineffective president, constrained by party members not willing to vote for bills that would hurt voters as they campaign for re-election?
In right ascension:
Saturn sextile natal Neptune January 12, 2018
Saturn return February 3, 2018
Saturn trine natal Pluto March 7, 2018
Saturn trine natal Pluto May 30, 2018
Saturn return July 8, 2018
Saturn sextile natal Neptune August 23, 2018
Saturn stations sextile natal Neptune September 19, 2018
Saturn return November 2, 2018
After the Midterms:
Saturn trine natal Pluto Nov 30, 2018
Hidden nugget - the sexual predator may resign this coming october 15th but charts do not look good for Pence either. It may be that nobody will want to take over the mess if they can find away to avoid it (resigning).