# Formation of Close-in Super-Earths by Giant Impacts: Effects of Initial Eccentricities and Inclinations of Protoplanets

## TL;DR

This study uses N-body simulations to explore how initial eccentricities and inclinations of protoplanets influence the formation and orbital characteristics of close-in super-Earths, revealing that initial inclinations significantly affect their final properties.

## Contribution

It systematically investigates the impact of initial protoplanet inclinations and eccentricities on super-Earth formation, highlighting the importance of initial orbital conditions.

## Key findings

- Inclinations are less relaxed and tend to remain large if initially high.
- Eccentricities are well relaxed through evolution.
- Initial inclinations influence the number, eccentricities, and orbital separations of resulting planets.

## Abstract

Recent observations have revealed the eccentricity and inclination distributions of close-in super-Earths. These distributions have the potential to constrain their formation processes. In the in-situ formation scenario, the eccentricities and inclinations of planets are determined by gravitational scattering and collisions between protoplanets on the giant impact stage. We investigate the effect of the initial eccentricities and inclinations of protoplanets on the formation of close-in super-Earths. We perform $N$-body simulations of protoplanets in gas-free disks, changing the initial eccentricities and inclinations systematically. We find that while the eccentricities of protoplanets are well relaxed through their evolution, the inclinations are not. When the initial inclinations are small, they are not generally pumped up since scattering is less effective and collisions occur immediately after orbital crossing. On the other hand, when the initial inclinations are large, they tend to be kept large since collisional damping is less effective. Not only the resultant inclinations of planets, but also their number, eccentricities, angular momentum deficit, and orbital separations are affected by the initial inclinations of protoplanets.