The mass of the star of the distant solar system is 82 * 10²² kg and the mass of the planet of the distant solar system is 8.58 * 10²⁵ kg
The planet stays in its orbit and moves in a centripetal motion due to the gravitational force of attraction between the planet and the star.
Fc = m v² / r
Fg = G M m / r²
Fc = Fg
m v² / r = G M m / r²
v² = G M / r
M = r v² / G
g = Acceleration due to gravity
G = Gravitational constant
M = Mass of star
r = Distance between both bodies
G = 6.67 * 10⁻¹¹ N m² / kg²
r = 8.6 * 10¹¹ m
T = 402 days = 3.47 * 10⁷ s
v = 2 π r / T
v = 2 * 3.14 * 8.6 * 10¹¹ / 3.47 * 10⁷
v = 15.56 * 10⁴ m / s
Ms = 8.6 * 10¹¹ * 15.56 * 10⁴ / ( 6.67 * 10⁻¹¹ )
Ms = 20.1 * 10²⁶ kg
F = G M m / r²
F = m g
Equating,
m g = G M m / r²
Mp = g r² / G
Mp = 63.6 * ( 1.8 * 10⁷ / 2 )² / 6.67 * 10⁻¹¹
Mp = 8.58 * 10²⁵ kg
To know more about Orbital velocity
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= 26.3 * 
= 2.63 *
N