@SE - stop firing the good guys's answer states MOM is not in a sun-synchronous orbit. I just though I'd add some math to that. Using the equation for rotation of ascending node posted by @MarkAdler, I calculated the delta_OMEGA
- how much the ascending node rotates in one year, for two cases: earth LEO and mars MOM.
For earth LEO (400km) I get a little more than 97 degrees, which is about what we expect, suggesting this calculation might be on the right track. Plugging in the numbers for MOM (from information in the question and answer above), it turns out that for MOM's orbit with an inclination of 150 degrees, the rate is only 0.45 of what is needed for sun synchrony.
Blue line which has a large amplitude is earth LEO, red line which never exceeds +/- 3.3 radians/year is mars MOM.

Here is some python I used: (tried to add language-sensitive highlighting but doesn't seem to work. Suggestions?)
import numpy as np
import matplotlib.pyplot as plt
pi, twopi = np.pi, 2*np.pi
# all distances in km (they cancel, it's OK!)
r_earth = 6371.
r_mars = 3393.
# from: https://planetary.s3.amazonaws.com/assets/resources/ISRO/Mars-atlas-MOM.pdf
alt_peri = 350.
alt_apo = 71000.
r_peri = alt_peri + r_mars
r_apo = alt_apo + r_mars
a_LEO = r_earth + 400.
a_MOM = 0.5*(r_peri + r_apo)
e_LEO = 0.
e_MOM = (r_apo - r_peri) / (r_apo + r_peri)
# from: https://en.wikipedia.org/wiki/Standard_gravitational_parameter
GM_earth = 3.98600442E+14 # m^3/s^2
GM_earth *= 1E-09 # km^3/s^2
GM_mars = 4.2828E+13 # m^3/s^2
GM_mars *= 1E-09 # km^3/s^2
print "GM_earth, GM_mars: ", GM_earth, GM_mars, "km^3/s^2"
# from: https://space.stackexchange.com/a/14469/12102
# and: https://janus.astro.umd.edu/astro/calculators/pcalcframe.html
J2_earth = 0.001082627
J2_mars = 0.001960454
inc_deg = np.linspace(0, 180, 181)
inc = (pi/180.) * inc_deg
# earth LEO
term_1 = -1.5 * J2_earth
term_2 = (r_earth/(a_LEO*(1-e_LEO**2)))**2
term_3 = np.sqrt(GM_earth/a_LEO**3)
OMEGA_dot_LEO = term_1*term_2*term_3*np.cos(inc)
# mars MOM
term_1 = -1.5 * J2_mars
term_2 = (r_mars/(a_MOM*(1-e_MOM**2)))**2
term_3 = np.sqrt(GM_earth/a_MOM**3)
OMEGA_dot_MOM = term_1*term_2*term_3*np.cos(inc)
year_earth = 365.25 * 24. * 3600. # sec
year_mars = 686.97 * 24. * 3600.
delta_OMEGA_LEO = OMEGA_dot_LEO * year_earth
delta_OMEGA_MOM = OMEGA_dot_MOM * year_mars
print inc_deg[150], delta_OMEGA_MOM[150], delta_OMEGA_MOM[150]/twopi
thing = {'ha': 'left', 'va': 'bottom', 'bbox': None,
'fontsize':16}
plt.figure(figsize=[8,10])
ax1 = plt.subplot(2, 1, 1)
for item in (ax1.get_xticklabels() + ax1.get_yticklabels()):
item.set_fontsize(15)
plt.plot(inc_deg, delta_OMEGA_LEO, '-b', lw=2)
plt.plot(inc_deg, delta_OMEGA_MOM, '-r', lw=2)
plt.plot(97, twopi, 'ok')
plt.plot(inc_deg, np.zeros_like(inc_deg), '-k')
plt.plot(inc_deg, twopi*np.ones_like(inc_deg), '--k')
plt.plot([90, 90], [-100, 100], '-k')
plt.xlim(80, 100)
plt.ylim(-10, 10)
plt.text(91, twopi+0.5, "2 pi", thing)
ax2 = plt.subplot(2, 1, 2)
for item in (ax2.get_xticklabels() + ax2.get_yticklabels()):
item.set_fontsize(15)
plt.plot(inc_deg, delta_OMEGA_LEO, '-b', lw=2)
plt.plot(inc_deg, delta_OMEGA_MOM, '-r', lw=2)
plt.plot(97, twopi, 'ok')
plt.plot(inc_deg, np.zeros_like(inc_deg), '-k')
plt.plot(inc_deg, twopi*np.ones_like(inc_deg), '--k')
plt.plot([90, 90], [-100, 100], '-k')
plt.xlim(80, 180)
plt.ylim(-20, 60)
plt.text(120, twopi+2.0, "2 pi", thing)
plt.show()