Ion propulsion requires weeks of operation to circularize a GTO orbit
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Retrieved technical documentation and discussions indicate that electric and ion propulsion transfers from GTO to GEO require months of operation rather than days.
For geostationary orbit transfers, a long duration is required using electric propulsion and a large propellant mass is needed with chemical propulsion. Hybrid transfers can achieve a balance between the fuel consumption and transfer time. In this paper, a trajectory optimization method is proposed for time-fixed minimum-fuel orbital transfer with combined chemical–electric propulsion. The necessary conditions and transversality conditions related to impulsive burns are derived theoretically with Pontryagin’s maximum principle. The long-duration geostationary orbit transfer is a many-revolution transfer, and is solved with the homotopic approach from the short-duration transfer problem. The variation in fuel consumption with transfer time is nearly linear, and the variation in the magnitude of impulsive burn is exponential. A simple model is presented for the estimation of fuel consumption and magnitude of impulsive burn with given transfer time, specific impulse of propulsion system and low-thrust magnitude.
GTO to GEO transfer — MIDAS 1.7.0 documentation
# GTO to GEO transfer
# GTO to GEO transfer#
This tutorial is showing how to solve an electric orbit raising transfer from GTO (Geostationary Transfer Orbit) to GEO (Geostationary Orbit)
We are going to be working with the `midas.design.sep.marta` module, let’s import it and some other `godot` modules we need.
```
from godot.core import util, num, tempo
from midas.design.sep import marta
util.suppressLogger()
```
We are defining the problem with an initial (fixed) epoch and a final (free) epoch to be used as initial guess for the duration of the transfer (time of flight 120 days).
```
epoch0 = tempo.Epoch("0.0 TDB")
```
We define the initial and final orbital parameters as Keplerian elements. For the free values (i.e. true anomaly) we pass `None`. The final orbit is GEO equatorial and circular, so the `AOP` and `RAAN` are not well defined, hence we pass `None` for these as well. We also define the initial mass (fixed) and final mass (free) as initial guess.
```
kep0 = [24505.9, 0.725, 27 / num.Rad, 0, 178 / num.Rad, None]
mass0 = 2000.0
kep1 = [42165, 0, 0, None, None, None]
```
We use these to create boundary conditions
# What does a 6-month GTO to GEO transfer look like in practice?
Tags: orbital-mechanics, geostationary, ion-thruster
- Score: 4
- Views: 1094
- Answers: 1
- Answered: yes
- Asked by: ymb1 (2463 rep)
- Asked: 2021-03-14
- Edited: 2021-03-18
- Site: space
## Question
Based on How much time does it take to circularize a GTO orbit using ion propulsion? and the launch and entry into service dates, it takes about 6 months of continuous ion propulsion to transfer a GTO to a GEO.
According to a spacenews.com article, the journey was 7 months for the all-electric Eutelsat 117 West B. They have an illustration, which suggests the GTO's apogee was higher than GEO:
Source: spacenews.com
The post Thrust and rotation strategy to circularize a standard GTO orbit using ion propulsion? offers a theoretical approach. To a mere Kerbonaut, who only knows how to circularize an orbit by firing at apogee: when a continuous very, very, very small thrust is used in practice such as that payload (Eutelsat 117 West B) aboard the June 2016 Falcon 9 launch, how does the orbit look like as it circularizes, since the thrust is not always at apogee?
Of note, I think, is the movable arms with the thrusters:
# Thrust and rotation strategy to circularize a standard GTO orbit using ion propulsion?
Tags: orbital-mechanics, geostationary, hohmann-transfer, python, ion-thruster
- Score: 10
- Views: 2078
- Answers: 2
- Answered: yes
- Asked by: user12102
- Asked: 2016-06-07
- Edited: 2017-05-13
- Site: space
## Question
The previous question How much time does it take to circularize a GTO orbit using ion propulsion? has a good, quantitative answer based on a known delta-v.
But I'm wondering how would you actually aim a continuous ion thrust as you move around in a highly elliptical orbit at the beginning? Is there a way to do this without wasting a lot of propellant? Or do you use the thrust only during a fraction of the orbit (in the beginning) when near periapsis, and therefore it takes longer to accumulate the delta-v because the thruster is actually turned off a lot of the time?
Here's a quick, silly calculation showing that for 0.2N and 2200kg, starting at 300km LEO, it takes about 600 days to slowly spiral out to GEO. The satellite rotates once per revolution around the earth, so I have to slow down the rotation rate a teeny tiny bit once in a while to keep them synchronized so
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