Tisserand Parameter Conservation Invariance Checker
Absolute observed Tisserand departure versus caller tolerance; no claim exact invariance under omitted perturbations.
Description
Tisserand Parameter Conservation Invariance Checker: return within caller conservation tolerance.
A conservation comparison measures how much a quantity changes between two states. Whether the change is acceptable depends on the supplied tolerance.
This tool returns within caller conservation tolerance. Use the stated units and model convention when interpreting these fields.
When to use this tool
Use this tool when the supplied inputs match the specific operation described above and you need a repeatable result under its stated convention.
- Check the supported input and output contract against an existing calculation or observation.
- Use the complete example to confirm units, selector spelling and result interpretation.
How to use the tool and how it works
- Enter every field in the input table using the stated units and the exact supported selector spelling where applicable.
- Run the tool. Correct input errors before interpreting an output.
- Read the result fields below; use accompanying flags and the stated sign, boundary or model convention when interpreting a number.
Take the absolute difference between finalT and initialT and compare it inclusively with the caller's nonnegative tolerance.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| initialT | Initial t. | Finite number |
| finalT | Final t. | Finite number |
| callerTolerance | Caller tolerance. | Finite number; zero or greater |
| Output field | Interpretation |
|---|---|
| result | Object containing the following named result fields. |
| result.withinCallerConservationTolerance | Within caller conservation tolerance flag under the exact conditions described above. |
{
"input": {
"initialT": 3,
"finalT": 3.01,
"callerTolerance": 0.02
},
"output": {
"result": {
"withinCallerConservationTolerance": true
}
}
}Limitations and assumptions
- A passing comparison does not establish that a dynamical model's assumptions make the Tisserand parameter invariant.
- Every declared field is required and unexpected fields are rejected. Numeric inputs must be finite; input errors are distinct from a valid false result or an explicitly qualified output.
- Extremely large inputs and nonfinite or excessively large outputs are rejected. List positions reported by the tool use zero-based indices unless stated otherwise.
Alternative or Complementary methods
Check the underlying observations, units and conventions independently before using the result in a larger workflow. The tools listed below address nearby tasks; compare their inputs and scope before substituting one for this operation.
References
Similar or alternative tools
- tisserand orbital parameter
The Tisserand parameter combines a small body's orbital size, eccentricity and inclination relative to a planet in a circular restricted three-body approximation.
- impact parameter flyby turn
An ideal hyperbolic flyby bends an incoming asymptote according to impact parameter, excess speed and gravity.