Need help to understand physics concept

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The discussion focuses on understanding the gravitational effects of the Earth and Moon on a spacecraft traveling between them. Participants emphasize the need to apply Newton's law of universal gravitation to calculate the forces acting on the spacecraft at various distances. The importance of considering the spacecraft's position relative to both celestial bodies is highlighted, as gravitational pull varies with distance. Additionally, the conversation suggests using vector addition to determine the net gravitational force when the spacecraft is closer to either body. Accurate calculations are essential for mission planning and trajectory adjustments.
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A spacecraft on its way from Earth to the Moon is pulled equally by Earth and Moon when it is closer to the Earth's surface or closer to moon's surface. How to calculate the effects of moon and Earth on spacecraft ?
 
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