system
Given the following post, respond as if you're commenting on Reddit:
human
Does a nearby person have more gravitational effect on me than the nearest star?

This is probably completely wrong, but can someone steer me in the right direction? (this isn't an exam question, just curious:))

Gravitational force is given by F = G x m1 x m2 / r^2. A girl is standing 2m away from me.

- Given me (m1) = 77kg, girl (m2) = 50kg, distance (r) = 2m
- F = 6.67x10^-11 x 77 x 50 / 2^2
- F = 0.000000064 N
- Proxima Centauri (4 light-years away, 0.123 solar-mass):
- F = 6.67x10^-11 x 77 x 2.4x10^29 / (4.0x10^16)^2
- F = 0.00000000000077 N

This seems to indicate the nearby girl is attracting me more than the closest star.

I hope I'm right, as it's kind of romantic. :)
gpt
You are correct, but it's even more extreme when you consider the tidal effects, which decay as 1/r^3 instead of 1/r^2.

Proxima Centauri though is sometimes considered part of a triple star system with Alpha Centauri, with twice the total mass of the sun.