8. Attitude Determination, Control, and Sensing

8.9 Pointing Analysis and Budget

 

Breakdown of pointing errors. Tüfekci, Celal S., et al. “Attitude performance requirements and budgeting for RASAT satellite.” Proceedings of 5th International Conference on Recent Advances in Space Technologies-RAST2011. IEEE, 2011.

Just as there are critical loads in the structures system that must be designed around, there are “critical” payloads that the ADCS system must be designed around. The payload with the most demanding pointing or slewing requirements determines the accuracy/precision of the sensors, the capacity and resolution of actuators, and the rigor of the determination and control algorithms. This pointing analysis and budgeting are not very interesting if you only have one instrument or component that needs to point in the entire mission.

  1. Define the body axes of your spacecraft by taking a screenshot of your CAD with the coordinate axis. For example, the following image is taken from the structures software lab where the rails lie along the z axis, as dictated by the reference frame in the top right corner:
  2. Make a copy of the Pointing Budget Template and replace the components in the template with the components in your spacecraft. These components can be copied from a previous budget (like the mass or power budget).
  3. Identify which components in your spacecraft mission need to point at a target during operations. Fill in the target.
    For example in the Artemis CubeSat, we have our baseline visible-IR camera. Some satellites have directional antennas and radios but the Artemis CubeSat kit has omnidirectional components. To make this a little more interesting and illustrative, let’s say the radio does need some kind of pointing. Your budget would look something like this:

    Subsystem Component Target
    Payload Camera Hawaii, Earth
    COMMs
    Transmitter (TX) Ground Station
    Receiver (RX) Ground Station
    Deployment NA
    EPS
    Battery Board NA
    Distribution Unit NA
    Solar Panels Sun

     

  4. Now we have to generate pointing goals, which would enable each component to achieve its ultimate performance. This process could involve a scientist deriving physical limitations on detecting an event or target, like what is the pointing accuracy so that we can achieve sub-pixel resolution of a faraway star? The scientist would have to account for diffraction limits if there were lenses and the resolution of the charge-coupled device array they chose for the camera.

    Schematic of the NuSTAR pointing budget for source localization.Harp, D. Isaiah, et al. “NuSTAR: system engineering and modeling challenges in pointing reconstruction for a deployable x-ray telescope.” Modeling, Systems Engineering, and Project Management for Astronomy IV. Vol. 7738. International Society for Optics and Photonics, 2010.

We could also include motion constraints here. Some instruments may be sensitive to jitter so the control policies would need to limit jitter. On Ke Ao, a variant of Artemis, the process is very simple. We would like to take a picture of Hawai’i and transmit this picture back. The camera must be within 8 degrees of a straight-on orientation viewing Hawai’i. Let’s say the radio requires a nadir pointing at Earth but just within that hemisphere. The painting requirement for the radio would be within 90 degrees of nadir.

Component Pointing Requirement Rate, acceleration, or jitter limits
Camera 8 degrees
Radio 90 degrees

4. Once this chart of requirements and constraints is made, we can identify the most stringent requirements and constraints and pick sensors/actuators around those numbers.

Component Pointing Requirement Rate, acceleration, or jitter limits
Camera 8 degrees
Radio 90 degrees

5. Referring to our sensor and actuator typical accuracies, we can identify sensors and actuators that can at least meet our most strict pointing requirement. Since the Ke Ao mission is not demanding, all sensors and actuators meet the requirement.

Reference Typical Accuracy Remarks
Sun 1 arcminute Simple, reliable, low cost, not always visible
Earth 0.1 degrees Orbit dependent; usually requires scan; relatively expensive
Magnetic Field 1 degree Economical; orbit dependent; low altitude only; low accuracy
Stars 0.001 degree Heavy, complex, expensive, most accurate

Inertial Space

0.01 degree/hour Rate only; good short-term reference; can be heavy, power; cost
Method Typical Accuracy Remarks
Spin Stabilized 0.1 degree Passive, simple; single-axis inertial, low cost, needs slip rings
Gravity Gradient 1 – 3 degrees Passive, simple; central body-oriented; low cost
Jets 0.1 degree Consumables required, fast; high cost
Magnetorquer 1 degree Near-Earth; slow; low weight, low cost
Reaction Wheels 0.01 degree Internal torque; requires other momentum control; high power, cost

6. Now we identify which sensors and actuators are realistic to integrate into our spacecraft. For a 1U CubeSat, we are incredibly volume and mass limited. We can utilize coarse sun sensors, magnetometers, and a magnetorquer. The other sensors and actuators are too massive and their higher accuracy performance is not necessary to fulfill the mission.

Reference Typical Accuracy Remarks
Sun 1 arcminute Simple, reliable, low cost, not always visible
Earth 0.1 degrees Orbit dependent; usually requires scan; relatively expensive
Magnetic Field 1 degree Economical; orbit dependent; low altitude only; low accuracy
Stars 0.001 degree Heavy, complex, expensive, most accurate
Inertial Space 0.01 degree/hour Rate only; good short-term reference; can be heavy, power; cost
Method Typical Accuracy Remarks
Spin Stabilized 0.1 degree Passive, simple; single-axis inertial, low cost, needs slip rings
Gravity Gradient 1 – 3 degrees Passive, simple; central body-oriented; low cost
Jets 0.1 degree Consumables required, fast; high cost
Magnetorquer 1 degree Near-Earth; slow; low weight, low cost
Reaction Wheels 0.01 degree Internal torque; requires other momentum control; high power, cost

7. Given our choice of types of sensors and actuators, we go out into the commercial wilderness and pick some real sensors and actuators that meet our desired performance, as specified above.

8. To ensure that these sensors and actuators meet the requirement, we inject the sensor characteristics (noise) and actuator capabilities into a dynamic simulation. The estimator and controller must verify that the spacecraft ultimately points within the pointing requirement, which for Ke Ao is 8 degrees.

a. If not, go back to step 6 to choose better sensors or actuators.

b. If you’ve exhausted all commercial options, go back to step 5 and reconsider the types of sensors and actuators you’ll consider incorporating into the spacecraft design.

c. If these sensors and actuators absolutely cannot fit within the spacecraft, you’ll have to go all the way to step 2 and barter with the principal investigator or chief scientist on relaxing the pointing requirements.

Artemis CubeSat Kit Specific

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A Guide to CubeSat Mission and Bus Design Copyright © by Frances Zhu is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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