Will 1036 Ganymed's orbit be changed by its close encounter with Mars in 2176?
Ganymed's Mars approach in 2176 is only moderately close: 4.4 times Mars's Hill sphere radius or 11 times the average Earth-Moon distance.
JPL HORIZONS predicts these heliocentric orbital elements (J2000) before and after the encounter:




Date
e
a
i
Ω
ω




2176-12-06
0.525078
2.65922 au
27.7778°
212.085°
136.031°


2176-12-26
0.525093
2.65922 au
27.7772°
212.085°
136.025°




The change is slight.
With respect to Potentially Hazardous Asteroid criteria,
Ganymed is large enough (H = 9.4 &lt; 22)
but can't get close enough to Earth (MOID = 0.34 au &gt; 0.05 au).