# How far from Pluto must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Pluto's pull?

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If the forces must be equal and that the equation #F=GmM/r^2# is used

If the forces must be equal and that the equation

##### 1 Answer

Mar 1, 2016

4.42 E+05 km, nearly, from Pluto.

#### Explanation:

The stationary point in-between Sun and Pluto is distant r1 from Sun and r2 from Pluto,

The average of r1 + r2 = the semi-minor axis of the planet's orbit = 5.123 E+09 km.

r1 / r2 =

Solving, r1 = 5.12 E+09 km and r2 = 4.42 E+05 km

Only 3 significant digit (sd) approximation war aimed.

For higher precision, all data used should carry more correct sd

Reference for data: NASA Pluto Fact Sheet