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Results tagged with orbital-mechanics
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user 22816
Orbital mechanics (also called astrodynamics) is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft on an orbital or escape trajectory. For the movements of celestial bodies, use [celestial-mechanics], not this.
4
votes
Converting Keplerian Orbital Elements into 2D State Vectors in Unity C#
Things wind up changing when you look at hyperbolic orbits instead of elliptical ones when going from cartesian vectors to Keplerian elements, because when you use the elliptical equations some of the …
- 5,565
4
votes
Accepted
Calculate velocity vector of elliptical orbit given the position vector at that point, the i...
Given
Parameter
Symbol
Units
Position Vector
$\vec{r}$
distance
Orbital Inclination
$i$
radians
Orbital speed at position vector
$v$
distance/time
Eccentricity Vector
$\vec{e}$
Requ …
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2
votes
Accepted
(In ECI) How can I compute the RAAN of an orbit given the eccentricity vector, the declinati...
This is not enough information.
All you have is the eccentricity vector and the orbital inclination. (Declination of apoapsis is derivable from the eccentricity vector's direction, as the eccentricity …
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1
vote
Finding or calculating orbital velocities of celestial bodies at periapsis/apoapsis?
In the two-body Keplerian-Newtonian simulation, orbital speed $v$ is calculable from the semi-major axis $a$, and the radial distance $r$ and the gravitational parameter $\mu$ by the vis-viva equation …
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6
votes
Is there an upper velocity limit to obtain benefit of the Oberth effect for a high speed hyp...
In most star systems, if you can burn forever at 300 gees, orbital mechanics are things that happen to other people.
Coasting into the Solar System with a hyperbolic excess velocity of about $15\,000 …
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21
votes
Can a meteor shower have a interval greater than 1 year?
This is really more of a question for Astronomy.SE, in general this doesn't happen, but circumstances can work out that it does, see the updated last few paragraphs.
Every meteor shower with an iden …
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7
votes
Why do the modified equinoctial elements use the semilatus rectum?
Partial Answer:
For the extreme special case of the parabolic trajectory, where Orbital Eccentricity = $e=1$, the semi-major axis hits a singularity at $a=\pm\infty$, whereas the semi-latus rectum rem …
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7
votes
Why is my C++ code for an orbit propagator wrong?
As David Hammen said, there's a lot wrong here. I'm not a professional, I'm just a hobbyist who blundered my way through Wikipedia's orbital equations because Kerbal Space program didn't have a map sc …
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8
votes
Accepted
How to find the hyperbolic angle given the mean anomaly?
Like the corresponding eccentric anomaly for elliptical orbits, there is no closed-form formula for going from mean anomaly to hyperbolic anomaly.
You're going to have to use some sort of numerical m …
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5
votes
How to calculate time since ascending node crossing?
If you aren't dealing with some sort of perturbation of the orbit (from atmosphere, oblateness of the Earth, the satellite thrusting), and are not dealing with extreme timescales, and are only doing …
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16
votes
Which of the 2 delta-v calculations for a Mercury orbit insertion from LEO is right and whic...
Your $v_{inject}$ and $v_{insert}$ equations assume that both the departure and destination worlds are in coplanar, circular orbits.
This is manifestly not the case with Mercury.
Mercury is in an elli …
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5
votes
Accepted
How can I find the x, y position of apogee and perigee, if I only have the value of distance...
The eccentricity vector has a magnitude equivalent to the orbital eccentricity of the ellipse, and points along the line of apsides in the direction from the central body towards the periapsis.
Given …
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16
votes
When calculating the six Keplerian Orbital Parameters, why do we need both Eccentricity AND ...
The two parameters are independent; any combination of non-negative semi-major axis and eccentricity between 0 and 1 results in a valid ellipse.
Semi-major axis for an ellipse is half the longest dime …
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8
votes
Obtaining orbital state vectors given two position vectors and an eccentricity
No, one focus, two points on the orbit, and the orbital eccentricity is not enough information to determine the velocity vector.
Attached below are images of two different ellipses that share the sam …
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5
votes
How to sort orbital positions in the order of following by spacecraft?
True Anomaly is the angle from periapsis, through the center of the body being orbited, to a designated orbital position, measured in the plane of the orbit, with the positive direction designated as …
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