Yuan-Sen Ting (丁源森)

The Ohio State University

C3PO: Census of Co-moving Pairs of Stars

with Fan Liu, David Yong, Qinghui Sun, Jie Yu, Serat Saad Mahmud

Most of our understanding of stellar astrophysics is calibrated using binary stars

.... with which we calibrate masses

e.g., El-Badry, YST, Rix+, 2018

with APOGEE spectra

Hwang, YST+ 2024

with Gaia data

at population level

.... with which we calibrate masses

Binaries + stellar twins are amazing

Binaries = co-natal

Twins = supposedly identical

Measuring absolutely accurate properties of stars is challenging

0.5

15900

15940

Best-fit model

Normalized Spectrum

Observation

Wavelength [A]

Synthetic models are imperfect

15920

15960

15880

1.0

e.g., O'Briain, YST+ 2021

Systematic uncertainty ~ 0.1 dex

"Differential" relative abundance studies from twin stars 

Relative precision
0.01-0.02 dex
at SNR ~200-300

If the Sun engulfs the Earth, the deviation in chemical composition will be on the order of 0.01 dex

Liu, YST+ 2024

But nearby twin binaries suitable for
high-resolution follow-up with SNR > 200
are rare

Kamdar, Conroy, YST+ 2019a

High resolution simulations of the Milky Way

We just need co-natal stars, not necessarily binaries

Kamdar, Conroy, YST+ 2019b

Typically even "wide" binaries are about 0.01-0.1 pc in separation

Stars that are far apart but co-moving are co-natal

These are a lot more abundant than binaries

This is also confirmed by analyzing shuffled Gaia data

Spatial Separation [pc]

Log # Density

Velocity Separation [km/s]

Conatal

Chance alignment

C3PO: Census of Co-moving Pairs of Stars

~12 nights of Keck, Magellan and VLT combined

C3PO: Census of Co-moving Pairs of Stars

> 50% of all co-moving pairs identified by Gaia with G < 10 mags

125 pairs of stars (250 stars), SNR ~ 250, Resolution > 50,000

Stellar twins : delta color (BP-RP) < 0.15 mag

Precision - Teff ~ 15K, logg ~ 0.01 dex, metallicity [Fe/H] ~ 0.01 dex

C3PO demonstrates that co-moving stars are co-natal

"Wide"
-binaries

Chemically inhomogeneous
co-natal stars!

Yong, YST+, 2023

Hmm... twins,
but not the same...

Hotter stars are more likely to be anomalous

Hot

Cold

Yong, YST+, 2023

Recall that hotter stars have a shallower convective envelope

Obviously, not to scale

Cold star

Hot star

I am planet

Obviously, not to scale

Cold star

Hot star

I am planet

Stronger signal

Weaker
signal

Recall that hotter stars have a shallower convective envelope

Liu, YST+ 2024

Fitting a planet-engulfment model to the data

Liu, YST+ 2024

Abundance Difference

\Delta {\rm [X/H]}

The statistical "evidence" favors planet engulfment

Co-natal sample

Control sample

Favoring the planet engulfment scenario

Liu, YST+ 2024

Previously, fewer than 10 known examples (from binaries)

We detect at least 8/125 co-moving pairs (8%) showing such statistical evidence

This is one of the very few ways to understand the chemical composition of exoplanets

Planet-related perturbations might also change stellar rotation

and consequently stellar activity

Stellar activity measurements with Ca H&K lines from C3PO

Wavelength (A)

3930

3940

3960

3970

3970

3980

Flux difference

Flux

Yu, YST+ 2025

The "engulfment" pairs show varying degrees of "pollution"

Larger deviation

Larger planets?

Condensation Temperature [K]

0

500

1000

1500

-0.2

0.0

0.2

Abundance Difference

\Delta {\rm [X/H]}

Yu, YST+ 2025

Volatile:
C,N,O

Refractory:
Mg, Si

Stars with stronger planet signals also show more activity

Stellar activity indicator

Abundance-Condensation
Slope

Yu, YST+ 2025

Supports planet-related causes

But I have not told you the full story yet...

Scenario 1: Planet Engulfment Theory

Obviously, not to scale

Obviously, not to scale

Scenario 1: Planet Engulfment Theory

Obviously, not to scale

Protoplanetary disk

I am planet

Scenario 2 : Planet Formation Theory

Obviously, not to scale

Protoplanetary disk

Planet depletes planetary material

Scenario 2 : Planet Formation Theory

Obviously, not to scale

Protoplanetary disk

Protoplanetary disk

With planet formation

Without planet formation

Scenario 2 : Planet Formation Theory

Obviously, not to scale

With planet formation

Without planet formation

Scenario 2 : Planet Formation Theory

We think planet engulfment is favored

Protoplanetary disk

Proto-stars have much larger convective envelope

Planet Engulfment

Planet Formation

Can easily make 0.1 dex signal or larger
(what is observed in C3PO)

For:

Against:

Simulations predict signal ~0.02 dex or smaller

Huhn & Bitsch, 2023

How do you perturb the orbit of a planet?

Planets naturally take away material

What about lithium?

Easily destroyed in stars

But it could be replenished by planet engulfment.

Is lithium a good indicator of planet ingestion?

e.g., Spina+ 2021, Nature Astronomy

Lithium Enhancement

Also various works on the origin of Lithium-enhanced stars

Iron Enhancement

Caveat: heterogenous sample from various studies

Sun, YST+ 2025a

Earth-like
composition

Jupiter-like
composition

Simulation

Normal Lithium variation

C3PO detections of planet engulfment

Is lithium a good indicator of planet ingestion?

Contrary to common belief, planet engulfment generates negligible lithium variations

 Comoving stars are also clusters of two

Corollary study : What causes the Lithium dip?

Lithium dip observed by C3PO

Sun, YST+ 2025b

Lithium dip

Rotational spin-down as the main cause of the Lithium Dip

Co-natal co-moving stars allow us to take into account the age effect, just like open clusters

Within each pair, stars with smaller rotational velocity are more depleted in lithium

Lithium dip observed by C3PO

Sun, YST+ 2025b

Lithium dip

Rotational spin-down as the main cause of the Lithium Dip

Stars lose angular momentum over time through stellar winds and magnetic braking

The spin-down triggers internal mixing and destroys lithium

Co-natal co-moving stars allow us to take into account the age effect, just like open clusters

Within each pair, stars with smaller rotational velocity are more depleted in lithium

What is next?

PASTA ! Planets Around Solar Twins/Analogs

PI: Qinghui Sun (STJU), Sharon Wang (Tsinghua), YST, Ji Wang (OSU)

The Sun is chemically peculiar even compared to solar analogs that have TESS planets!

Summary :

Hotter stars with shallower convective layers have a higher probability of being chemically peculiar

C3PO revealed that stellar spin-down causes the lithium dip

C3PO observed 125 pairs (250 stars) of co-moving stars in the Solar neighborhood with high-resolution and SNR spectroscopy

At least 8% of these stellar pairs show planet engulfment signatures. Confirmed by modeling the abundance patterns & magnetic activity.