Calculate Delta V for Lunar Orbit Transfer in 2 Maneuver Sequence

In summary, a spacecraft was inserted into a lunar orbit with a varying altitude of 101.5 km to 11,741.8 km above the surface of the moon. It was then transferred into a circular orbit 96.6 km above the moon. To calculate the delta v total for this maneuver, the Hohmann transfer equations were used and the values for rp, ra, and mu (GM) were plugged in. The resulting delta v total is 61.18 m/s for a 2-manuever sequence.
  • #1
orbitsnerd
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Homework Statement


A spacecraft is inserted into a lunar orbit. It varied from 101.5 km to 11,741,8 km above the surface of the moon. Later it was transferred into a circular orbit 96.6 km above the moon. Compute the delta v total for a 2 maneuver sequence to transfer the spacecraft from the initial orbit into the required circular orbit.


Homework Equations


Hohmann transfer equations
delta v total=delta v1+delta v2 which includes ra, rp, mu


The Attempt at a Solution


rp=101.5 km + 1738 km
ra=11741.8 km + 1738 km
where 1738 km is the radius of the moon
GM=mu moon=4.902794e3 km^3/s^2
 
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  • #2
delta v1=(sqrt(2GM/rp)-sqrt(GM/ra))*sqrt(ra)= (sqrt(2*4.902794e3/1889.3 km)-sqrt(4.902794e3/13479.8 km))*sqrt(13479.8 km)= 937.25 m/sdelta v2= sqrt(2GM/ra)-sqrt(GM/rp) *sqrt(rp)= (sqrt(2*4.902794e3/13479.8 km)-sqrt(4.902794e3/1889.3 km))*sqrt(1889.3 km)= -876.07 m/sdelta v total = 937.25 + (-876.07) = 61.18 m/s
 

What is Delta V and why is it important in calculating a lunar orbit transfer?

Delta V, or change in velocity, is the amount of thrust needed to change the trajectory of a spacecraft. It is important in calculating a lunar orbit transfer because it determines the energy required to move the spacecraft from one orbit to another.

What is a 2 maneuver sequence and why is it used in lunar orbit transfers?

A 2 maneuver sequence is a series of two separate burns or thrusts that are used to transfer a spacecraft from one orbit to another. This method is commonly used in lunar orbit transfers because it allows for more precise control and efficiency in the transfer process.

How is Delta V calculated for a lunar orbit transfer in a 2 maneuver sequence?

The Delta V for a lunar orbit transfer in a 2 maneuver sequence is calculated by adding the Delta V values for each individual maneuver. These values can be calculated using the spacecraft's mass, the gravitational parameters of the Earth and Moon, and the desired orbital parameters.

What factors can affect the accuracy of Delta V calculations for a lunar orbit transfer?

There are several factors that can affect the accuracy of Delta V calculations for a lunar orbit transfer. These include variations in the gravitational forces of the Earth and Moon, atmospheric drag, and the spacecraft's propulsion system performance. Other factors such as human error and equipment malfunctions can also impact the accuracy of the calculations.

How can Delta V calculations be optimized for a more efficient lunar orbit transfer?

To optimize Delta V calculations for a more efficient lunar orbit transfer, engineers can use advanced simulation software to model and analyze different trajectory options. They can also consider using gravity assists from other celestial bodies, such as the Moon or other planets, to reduce the amount of Delta V needed for the transfer. Additionally, optimizing the spacecraft's propulsion system and minimizing any external factors that may affect the calculations can also lead to a more efficient transfer.

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