How long does it take for 3 planets to align themselves at an angle

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SUMMARY

This discussion focuses on calculating the alignment time for Earth, Mars, and Jupiter at a specific separation angle, essential for executing a Hohmann transfer from Earth's orbit to Mars, followed by a gravity assist towards Jupiter. Key factors include the original positions of the planets and the individual alignment times: the time for Mars to align with Earth, Mars to align with Jupiter, and Earth to align with Jupiter. The challenge lies in determining the unknown time required for all three planets to align simultaneously, utilizing their orbital data expressed in angular units.

PREREQUISITES
  • Understanding of planetary orbits and angular measurements
  • Knowledge of Hohmann transfer orbits
  • Familiarity with gravity assist maneuvers
  • Basic skills in celestial mechanics and orbital dynamics
NEXT STEPS
  • Research the mathematical models for planetary alignment calculations
  • Study Hohmann transfer orbits in detail
  • Explore gravity assist techniques for interplanetary missions
  • Learn about the orbital characteristics of Earth, Mars, and Jupiter
USEFUL FOR

Aerospace engineers, astrophysicists, and students involved in space mission planning and orbital mechanics will benefit from this discussion.

Rennitbaby
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How long does it take for earth, mars, and Jupiter to line themselves up to a certain separation angle.
Background information: I am doing this project where we are trying to do a Hohmann transfer from Earth's stationary orbit to Mars and doing a flyby gravity assist at Mars and shoot for Jupiter. Now we are at the point where we have to find out the exact time it takes for all three planets to lineup at a perfect angle for this whole mission to be completed.

Knowns: -the original positions we need for all three planets to be.
- the time it takes for Mars to lineup with earth
- the time it takes for Mars to lineup with Jupiter
- the time it takes for Earth to lineup with Jupiter

Unknowns: the time it takes for all above scenarios to happen. For example, the grand tour alignment, however this time it is only 3 planets.
 
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Welcome to PF;
Use the information you have on their orbits - expressed in angle units.
 
Welcome to PF;
Use the information you have on their orbits - expressed in angle units.
 

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