An astronomer calculates that a protoplanetary disk has a total mass of 5 × 10³⁰ kg, with 60% forming into planets and the rest dissipating. If the largest planet collects 2.4 × 10³⁰ kg, what fraction of the planetary mass did it receive? - Crosslake
Title: Astronomer Reveals How Much of a Protoplanetary Disk Forms into Planets — Breakdown of Mass Distribution
Title: Astronomer Reveals How Much of a Protoplanetary Disk Forms into Planets — Breakdown of Mass Distribution
Astronomers have long been fascinated by protoplanetary disks — swirling remnants of gas and dust orbiting young stars, where planets are born. New research sheds light on how much material from such a disk actually contributes to forming planets, using precise calculations by a leading researcher.
According to the study, a protoplanetary disk with a total mass of 5 × 10³⁰ kg is forming planets, with 60% of its mass eventually coalescing into planetary bodies. The remaining 40% gradually dissipates due to stellar winds and radiation, underscoring the delicate balance of growth and loss in early planetary systems.
Understanding the Context
If the largest emerging planet accumulates 2.4 × 10³⁰ kg of mass, astronomers have calculated the precise fraction of its planetary contribution that this represents. Using basic mass fraction analysis, the calculation is straightforward:
The total planetary mass is:
5 × 10³⁰ kg × 0.60 = 3 × 10³⁰ kg
The fraction obtained by the largest planet is:
(2.4 × 10³⁰ kg) / (3 × 10³⁰ kg) = 0.8
Thus, the largest planet received 80% of the total planetary mass from the disk.
Key Insights
This result highlights the efficiency of planetary growth—most of the disk’s initial mass is indirectly channeled into forming massive worlds, while significant material evaporates or escapes. Such insights deepen our understanding of how planets assemble and evolve across the universe.
For astronomers studying exoplanet formation, accurate mass fractions like this enable better models of planet system development, offering clues about Earth’s own origins and the diversity of worlds beyond our solar system.
Keywords: protoplanetary disk, planetary formation, astronomer mass calculation, 60% planet formation, 2.4 × 10³⁰ kg, planetary mass fraction, space science, exoplanets, Milky Way systems
