One question about Parabolic and Hyperbolic trajectory.

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In parabolic and hyperbolic trajectories, the focus point is located at the center of mass (CM) of the two interacting bodies. For bodies with significant mass, such as those comparable to the sun, the CM can be outside the sun's surface. Specifically, in the Sun-Jupiter system, the CM is approximately 83,500 km from the sun's center, or about 0.12 solar radii. This highlights the importance of considering the mass of both objects in determining the focus point of their trajectories. Understanding these dynamics is crucial for accurate modeling in astrophysics.
IPhO' 2008
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In the Parabolic and Hyperbolic trajectory.Is the sun in the focus point of parabola and hyperbola?
 
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Hi IPhO' 2008! :smile:
IPhO' 2008 said:
In the Parabolic and Hyperbolic trajectory.Is the sun in the focus point of parabola and hyperbola?

Yup! :biggrin:
 
To be more precise, the focus is at the center of mass (CM) of the two objects. If the body on a parabolic/hyperbolic trajectory had a mass comparable to that of the sun, the CM might be outside the surface of the sun.

It might interest you that the CM of the Sun-Jupiter system is outside the surface of the sun by about .12 solar radii = 83,500 km.
 
Thank you.
 

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