Tidal Force Ratio Two Bodies Calculator
Same local target differential tidal-gradient ratio M/r³, not ordinary inverse-square force ratio. Model only, not an ephemeris, measured stellar identity or observational guarantee.
Description
A distant body's tidal gradient scales with mass divided by distance cubed.
A distant body's tidal gradient scales with mass divided by distance cubed.1
Comparing two gradients does not compute an absolute force on a particular object. Use Tidal Force Ratio Two Bodies Calculator to evaluate the supplied inputs under the model explained below.
When to use Tidal Force Ratio Two Bodies Calculator
Use Tidal Force Ratio Two Bodies Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Tidal Force Ratio Two Bodies Calculator and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter First perturber mass kg, First distance meters, Second perturber mass kg, Second distance meters using the field table and validation rules below, then run the tool.
- Read First over second tidal gradient; interpret the units, signs, ordering and unknown-value placeholders described below.
- Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| firstPerturberMassKg | First perturber mass kg | number | Required; constraints below |
| firstDistanceMeters | First distance meters | number | Required; constraints below |
| secondPerturberMassKg | Second perturber mass kg | number | Required; constraints below |
| secondDistanceMeters | Second distance meters | number | Required; constraints below |
Enter nonnegative first-body mass, positive second-body mass in kg and positive distances in m. Return (firstMass/secondMass)×(secondDistance/firstDistance)³. Zero first mass returns zero; no target mass, absolute force or geometry beyond this distant-body gradient ratio is included.
tidalGradientRatio=(M1/M2)×(r2/r1)³ Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| firstOverSecondTidalGradient | First over second tidal gradient | number |
{
"input": {
"firstPerturberMassKg": 8,
"firstDistanceMeters": 2,
"secondPerturberMassKg": 1,
"secondDistanceMeters": 1
},
"output": {
"firstOverSecondTidalGradient": 1
}
}Limitations and assumptions
Comparing two gradients does not compute an absolute force on a particular object. Apply the exact scope and assumptions explained above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.
Alternative or Complementary methods
Use Neutron Star Density t/cm³ Estimate for a related task: Mean stellar density uses mass divided by a spherical volume.
Use Schwarzschild Radius From Mass for a related task: The Schwarzschild radius describes an ideal nonrotating, uncharged mass model.
References
-
Tidal Force Ratio Two Bodies Calculator — tool.io
Similar or alternative tools
- Neutron Star Density t/cm³ Estimate
Mean stellar density uses mass divided by a spherical volume.
- Schwarzschild Radius From Mass
The Schwarzschild radius describes an ideal nonrotating, uncharged mass model.