Equation 7 · Part 15 · How We Know What Is Inside a Planet
Numerator: GM
What this part means
The complete quantity above the fraction bar.
Its job in the formula
GM occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Numerator: GM→Article meaning
The passage around this formula
A spacecraft in orbit is a gravimeter. Its along-track velocity is perturbed by mass anomalies beneath it, and Doppler tracking of the radio link records those perturbations. Expanded outside the body, the potential from a rotationally symmetric mass distribution takes the form . and the factor (R/r)^{n} is the whole epistemology of gravity-based interior work. Each successive degree n decays faster with altitude, so high-degree terms are measurable only from low orbit and are dominated by shallow structure. Low-degree terms reach deep but are few. A gravity field is therefore a filter that attenuates depth information in a known, unavoidable way.
Learn the underlying idea
A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.
Open the illustrated fractions: division written vertically guide →
Sources cited in the article section
- [10] The crust of the Moon as seen by GRAIL ↗
- [17] Comparing Jupiter interior structure models to Juno gravity measurements and the role of a dilute core ↗
- [18] A diffuse core in Saturn revealed by ring seismology ↗
These citations provide research context; check each source for the exact claim it supports.