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Questions tagged [calculation]

How to calculate things directly related to Space Exploration as defined in the help center, or how the calculations have been done in the past or will be done in the future.

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How to calculate angle in elliptic orbit?

I would like calculate angle in elliptic orbit ZCP at any time, where: Z (position of periapsis), C (center of ellipse), P (current position of planet). I find topic, where is picture (in accepted ...
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1answer
105 views

Can a solar mirror increase an ion engine 's output?

Could an ideal size solar sail work as a parabolic mirror to increase the out put of an ion engine? Would the extra weight encumber the ion engine nullifying the increases sunlight on the ion engine? ...
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1answer
226 views

Calculations Apollo astronauts were trained to do by hand if loss of guidance computer and/or data & coms link to Earth?

This answer to the question is it possible to navigate space travel with no computer? currently contains the line Yes, as long as you don't care where you end up but I am not so sure this is true. ...
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62 views

What was NASA's “LUROVA” Operational Thermal Computer Model analog or digital? How were capacitors used?

@GremlinWrangler's answer links to Apollo Rover Lessons Learned Applying Experiences on the Apollo Lunar Rover Project to Rovers for Future Space Exploration by Ronald A. Creel, Space and ...
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0answers
55 views

How to make satellite ground track on map?

I want to make satellite ground track using matlab. I already had a position of satellite(ECI) by solving Kepler equation. And I know convert ECI to ECEF using rotation determinant. Then I convert ...
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1answer
329 views

How can I calculate the orbital elements from two position vectors and a time difference?

I have two position vectors for my satellite, and I know that the satellite reaches these two positions 15 minutes apart. I know I can find the inclination using linear algebra and my position ...
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0answers
33 views

What is this perturbation effect called, and what would be an analytical expression for the resulting eccentricity oscillations?

In this answer I've generated some oscillations of eccentricity by being somewhat naughty and propagating a TLE for +/-250 days from epoch. I believe it's okay for the purposes of demonstrating gross ...
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202 views

How can I calculate Mean anomaly from True longitude?

So, I have - TLE data - Reference frame: QMOD - Type: Osculating - Semimajor axis - Eccentricity - Asceding node - ...
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1answer
204 views

different ways to calculate satellite height

I found 2 formulas for calculating height. First is: height = magnitude(satillate_position_vector) - Earth_radius Second is: ...
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2answers
512 views

What are the energy-to-mass ratios of some fuels/oxidizers, when including the oxidizer?

Energy-to-weight ratio is an important parameter. We would like it to be high so we don't have to carry around much fuel. Maybe you've heard some of the numbers for common fuels. Hydrogen is about ...
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1answer
178 views

Is NASA's Performance Vehicle Calculator website open for public use?

This answer links to "NASA's Performance Vehicle Calculator" with the link https://elvperf.ksc.nasa.gov/Pages/Query.aspx I've also found the same link in https://forum.nasaspaceflight.com/index....
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1answer
466 views

Help with Cartesian State Vectors → Keplerian Orbit Elements C#

EDIT I am currently attempting to try the standard Cartesian State Vectors to Keplerian Orbit Elements conversion but i am having problems getting my head around the formulas and the use of vectors. ...
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How to get true anomaly from time?

An exercise that was left unsolved from last year's class gives me this equation : $$ t-t_{p} = \sqrt{\frac{a^3}{\mu}}*(\arcsin(X) - e*X) $$ where : $$ X = \frac{\sqrt{1-e^2}*\sin(v)}{1+e*\cos(v)}. $$...
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2answers
696 views

Calculating the planets and moons based on Newtons's gravitational force

I am trying to understand how to calculate the orbits of solar system bodies in an n-body framework, based on the pair-wise gravitational interaction between the objects. At present, I am considering ...
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1answer
237 views

How big is a human's space bubble?

How big is a human's (space) bubble - in other words: how far could we (as mankind) transport a human being from Earth in such a way that the being would be still alive? (Let's not consider returning.)...
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3answers
380 views

Distinction between spacecraft data and telemetry - difference in spacecraft resource use?

What is the distinction (if any) between spacecraft data and spacecraft telemetry? Do these terms tend to represent different kinds of information? While each case is different, in what ways do they ...
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1answer
879 views

How were Frenet frames and Gram–Schmidt orthonormalization used in spacecraft orbit calculations?

I haven't seen the film Hidden Figures yet, but I have read and listened to some dialogue clips in this NPR Review. In it they mention a Frenet frame and the Gram–Schmidt process for ...
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2answers
2k views

What is the correct thrust curve for a solid rocket with a simple circular hole, and why?

Going to wikipedia's article on solid-fuel rockets, I come across some graphs of thrust curves for certain bore-hole geometry. Right now I'm interested in the simplest bore-hole: a circular hole right ...
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2answers
536 views

What formulas do I use to calculate the gravity and drag forces on an object ascending from Earth's surface?

I'm trying to model a slingshot launch to space, literally, and I'm using 2 basic formulas. Simplifying my model, a object with a (really big) initial velocity is launched from Earth's surface on the ...
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1answer
874 views

“Pythagorean Three Body Problem” - need some points from an accurate solution for comparison

note: if you up-vote (or even if you don't), don't forget to scroll down and see the excellent answer as well - it's beautiful! The Pythagorean Three Body Problem also know as Burrau's problem is a ...
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0answers
313 views

attitude determination TRIAD - how are orbital reference frame vectors constructed?

I am trying to fully understand the TRIAD algorithm for attitude determination of a satellite. https://en.wikipedia.org/wiki/Triad_method So so far I know that the vectors $\vec{r}_1$ and $\vec{r}_2$...
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2answers
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A more accurate way of solar sail calculation?

From the Wikipedia article on solar sails: The force on a sail and the actual acceleration of the craft vary by the inverse square of distance from the Sun (unless extremely close to the Sun) This ...
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2answers
324 views

A constant parameter in a three body system?

In a two body system, there are a lot of orbital parameters not changing over time, like eccentricity or the orbital plane. A constant parameter can be a combination of two or more, like even though ...
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1answer
167 views

Calculating synodic periods at a given point in the orbit

Calculating the regular synodic period of two orbiting bodies is pretty straight forward, but what if I wanted to know when they would meet in a specific position? For example if they share a periapse....
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1answer
660 views

Cubesat Orbit calculation [closed]

I am trying to calculate the orbit parameters for a cubesat (Duration, eclipse time and sun time) can someone help please
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1answer
2k views

Doing an experiment to fire a laser to moon and back

After reading this question: I got an itch to to test out the mirrors myself (and maybe record whole process to irritate conspiracy nuts). What equipment would I need? I assume a high powered laser ...
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2answers
1k views

Perifocal coordinates and the orbit equation

Given the position $(p,q)$ and velocity $(v_p,v_q)$ of a satellite in perifocal coordinates $(\hat{p},\hat{q})$ where $\hat{p}$ is pointing toward periapsis, I can easily calculate the specific ...
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2answers
1k views

How to calculate the sphere of influence radius of the sun and other stars?

I am creating a space exploration game and I'm gathering formulas for determining how the player's spacecraft will act in space. One thing I need to know is how to calculate how far a spacecraft can ...
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2answers
2k views

How accurately (maximum possible accuracy) can future satellite positions be predicted?

Agencies/organizations who own/operate satellites want to know their future positions after a certain amount of time. We know that models of satellite dynamics are imperfect and also perturbations ...
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1answer
3k views

What is the accuracy / uncertainty of Two Line Elements (TLEs)?

I use TLE sets supplied on this website to find the future position of satellites (well usually just the ISS) using the SGP4 propagation method implemented in C++. My question is: What is the ...
11
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1answer
1k views

How accurate are modern ephemerides, and how does their accuracy degrade over time?

I was reading about what is involved in making an ephemeris and wondered about this. Feeling I'd read pieces that extrapolated orbits over many thousands of years, I looked for an example and found ...