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UW–Madison, 2023

SpacExxon: A spacecraft that refuels satellites: Design & Analysis

Most satellites carry a fixed amount of fuel, and in low Earth orbit a typical one lasts only 7 to 10 years. For our senior design capstone, five of us designed, on paper, a spacecraft that could refuel them in orbit. It is a conceptual design study, not a built or flight-ready system.

With Aidan Butula, Will Driessen, Jack Hilt and Scott Nelson. Senior design capstone (EMA 569), UW–Madison, May 2023.

Full design report · 150 pages Download PDF
Drawing packet · 30 pages Download PDF

The problem

As of May 2022 there were 5,465 operating satellites, and estimates run past 100,000 by 2030. When a satellite runs low on fuel, it uses what is left to drop into the atmosphere and burn up. Satellites are mostly aluminum, which can react with ozone, so a wave of re-entries is an environmental worry as well as a cost.

Refueling could stretch mission lifetimes instead. We pitched it as a mock company, SpacExxon: a gas station for satellites.

What we did

The mission target was 1,000 kg of hydrazine delivered per launch: 100 kg to each of ten satellites, launched on a SpaceX Starship. In MATLAB we worked out the orbital moves between customers, Hohmann transfers (the standard fuel-efficient way to change altitude) and plane changes, and simulated a 10-stop mission to random orbits between 300 and 1,000 km. Hauling that much fuel around takes a lot of fuel itself: the average starting mass came out just under 7,200 kg, about 5,700 kg of it propellant.

We chose and sized the subsystems (thrusters, a custom titanium hydrazine tank, guidance and navigation, thermal protection including Whipple shielding against debris, and power), plus a three-joint robotic arm that connects through Orbit Fab's RAFTI refueling valve. I designed the arm and did its dynamics analysis. We also ran a plumbing analysis in EES and a six-degree-of-freedom dynamics simulation.

The structure went through two rounds of CAD in SolidWorks and FEA in Ansys: launch accelerations, thruster impulse, modal and random-vibration analyses. The final design comes with a 20-drawing packet to ANSI standards.

Rendered CAD model of the refueling spacecraft with three solar panels and a hexagonal body.
Final CAD render of the SpacExxon refueler.
Grouped bar chart of spacecraft mass in kilograms at each of 11 mission stages across 10 simulated runs, starting between about 6,000 and 8,400 kg and ending at about 1,500 kg.
Spacecraft mass at each stop in 10 simulated missions. Most of the starting mass is fuel.
Engineering drawing of the robotic arm assembly, part 600, with parts list, notes and SpacExxon title block.
Robotic arm assembly drawing from our drawing packet.

Results and limits

In the final structural analysis, stresses stayed below yield in every case except single-point stress peaks at resonant frequencies in the random-vibration analysis. Beams and plates were sized toward a factor of safety of 1.4.

We were honest in the report about how far this is from real hardware. It says heavy iteration and redesign would still be needed before a real mission proposal: control design, arm software and autonomy, and cheaper manufacturing. It also points out that real satellites take whole companies of specialists, not five undergraduates. Still, it is a complete preliminary design, from mission profile to drawings.

Ansys stress plot of the spacecraft's truss structure under a vibration load, with the maximum stress marked near the tank supports.
Ansys normal stress in the structure under lateral sinusoidal vibration.

Tools SolidWorks, ANSYS, MATLAB, EES

Report

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