Two-Step Localization Method for Electromagnetic Follow-Up of LIGO-Virgo-KAGRA Gravitational-Wave Triggers
Abstract
1. Introduction
2. Background
3. Method and Approach
4. Simulation Setup
4.1. Localization Metrics vs. Pre-Merger Time (O4)
4.2. Telescope Scanning Model
4.3. Detection Methods
- Partial Communication.
- No Communication.
- Two-Step Localization.
5. Results
5.1. Examples of Telescope Motion for Event Detection
5.2. Animated Visualization of Telescope Surveys
5.2.1. Simulation 1—Two-Step Localization Method
5.2.2. Simulation 2—Partial Communication Method
5.2.3. Simulation 3—No Communication Method
5.3. Detection Time Histograms
5.4. NSBH EM–Counterpart Detection and Outlook
6. Summary & Discussion
7. Conclusions & Future Work
- Open questions.
- What increase in slew rate is required to achieve a specified fractional reduction in time to first detection?
- By how much does shortening per-field dwell and adopting faster scan patterns decrease time to first detection, accounting for realistic readout, shutter, and settle times?
- Under matched alert/update cadence, which lever most effectively reduces latency: faster slewing, shorter scan time, or improved auxiliary resolution/limiting magnitude?
- Open questions.
- If the auxiliary records frames during the final instants before the predicted merger, how does the pre-merger capture rate change?
- For NSBH events, what reduction in detection time is expected from faster slewing relative to the present setup?
- For NSBH events, does higher auxiliary resolution with better limiting magnitude reduce latency more effectively than faster slewing?
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| BNS | Binary Neutron Star |
| NSBH | Neutron Star–Black Hole |
| GW | Gravitational Wave |
| EM | Electromagnetic |
| GCN | Gamma-ray Coordinates Network |
| LVC | LIGO–Virgo Collaboration |
| BAYESTAR | Bayesian Triangulation and rapid localization |
| FOV | Field of View |
| SNR | Signal-to-Noise Ratio |
| GRANDMA | Global Rapid Advanced Network Devoted to the Multi-messenger Addicts |
| GROWTH | Global Relay of Observatories Watching Transients Happen |
| LVK | LIGO–Virgo–KAGRA |
| ZTF | Zwicky Transient Facility |
| PN | Post-Newtonian |
| PSD | Power spectral density |
| GOTO | Gravitational-wave Optical Transient Observer |
| DDOTI | Deca-Degree Optical Transient Imager |
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| Method | Communication | Detection Trigger | |
|---|---|---|---|
| on Scan | on Detection | ||
| Partial | Yes | No | Main telescope only |
| None | No | No | Main telescope only |
| Two-Step Localization | Yes | Yes | Aux. triggers Main; |
| Main can detect independently | |||
| LVK | Update | |||||
|---|---|---|---|---|---|---|
| Run | [s] | [deg2] | [deg2] | |||
| O3a | 1 | |||||
| O3a | 2 | |||||
| O3a | 3 | |||||
| O3a | 4 | |||||
| O4 | 1 | |||||
| O4 | 2 | |||||
| O4 | 3 | |||||
| O4 | 4 | |||||
| O5 | 1 | |||||
| O5 | 2 | |||||
| O5 | 3 | |||||
| O5 | 4 |
| Since Merger | Since First Alarm | Auxiliary Telescope (“BIG”) | Main Telescope |
|---|---|---|---|
| s | s | First sky-map update. SNR = 3.4. No meaningful localization. | |
| s | s | Second sky-map update. SNR = 4.1. No meaningful localization. | |
| s | s | Third sky-map update (green). SNR = 6.0, area = 14,403 . Motion begins from . | Third sky-map update (green). SNR = 6.0, area = 14,403 . Motion begins from . |
| s | s | — | Arrives at first scan position (bottom-left). |
| s | s | Arrives at first scan position (top-left). | — |
| s | s | Fourth sky-map update (blue). SNR = 10.5, area = . Slews toward upper-right of the search area. | Fourth sky-map update (blue). SNR = 10.5, area = . Slews toward bottom-left of the search area. |
| s | s | Merger occurs. | |
| s | s | — | Begins scanning updated region. |
| s | s | Begins scanning with three stops (see Section 4.2). | — |
| s | s | Detects event at at end of third stop. | — |
| s | s | Sends trigger to main telescope after integration. | Main telescope receives trigger and slews toward event. |
| s | s | — | Detects event after slewing to the source. |
| Since Merger | Since First Alarm | Auxiliary Telescope (“BIG”) | Main Telescope |
|---|---|---|---|
| s | s | First sky-map update. SNR = 3.4. No meaningful localization. | |
| s | s | Second sky-map update. SNR = 4.1. No meaningful localization. | |
| s | s | Third sky-map update (green). SNR = 6.0, area = 14,403 . Motion begins from . | Third sky-map update (green). SNR = 6.0, area = 14,403 . Motion begins from . |
| s | s | — | Arrives at first scan position (bottom-left). |
| s | s | Arrives at first scan position (top-left). | — |
| s | s | Fourth sky-map update (blue). SNR = 10.5, area = . Slews toward upper-right of the search area. | Fourth sky-map update (blue). SNR = 10.5, area = . Slews toward bottom-right of the search area. |
| s | s | Merger occurs. | |
| s | s | — | Continues scanning bottom-right region. |
| s | s | Begins scanning with three stops (see Section 4.2). | — |
| s | s | Detects event at but does not send trigger; halts scanning. | — |
| s | s | — | Completes assigned bottom-right search, slews toward top-right updated region. |
| s | s | — | Detects event after scanning second region, including integration. |
| Since Merger | Since First Alarm | Auxiliary Telescope (“BIG)” | Main Telescope |
|---|---|---|---|
| s | s | First sky-map update. SNR = 3.4. No meaningful localization. | |
| s | s | Second sky-map update. SNR = 4.1. No meaningful localization. | |
| s | s | Third sky-map update (green). SNR = 6.0, area = 14,403 . Motion begins from . | Third sky-map update (green). SNR = 6.0, area = 14,403 . Motion begins from . |
| s | s | — | Arrives at first scan position (bottom-left). |
| s | s | Arrives at first scan position (top-left). | — |
| s | s | Fourth sky-map update (blue). SNR = 10.5, area = . Slews toward upper-right of search area. | Fourth sky-map update (blue). SNR = 10.5, area = . Slews toward bottom-right of search area. |
| s | s | Merger occurs. | |
| s | s | — | Continues scanning bottom-left region. |
| s | s | Begins scanning with three stops (see Section 4.2). | — |
| s | s | Detects event at but does not communicate; halts. | — |
| s | s | — | Completes assigned bottom-left search; begins slew toward top-right updated region. |
| s | s | — | Arrives in top-right region; begins scanning. |
| s | s | — | Detects event after extended search, including integration. |
| LVK O3a | LVK O4 | LVK O5 | ||||||
|---|---|---|---|---|---|---|---|---|
| Method | Avg [s] | Std [s] | Method | Avg [s] | Std [s] | Method | Avg [s] | Std [s] |
| Two-Step | 95.8 | 135.1 | Two-Step | 101.0 | 207.1 | Two-Step | 134.3 | 158.7 |
| Ltd. Com. | 196.3 | 326.2 | Ltd. Com. | 183.6 | 384.2 | Ltd. Com. | 310.9 | 505.2 |
| No Com. | 247.2 | 453.6 | No Com. | 243.8 | 560.0 | No Com. | 395.5 | 542.2 |
| LVK O3a | LVK O4 | LVK O5 | ||||||
|---|---|---|---|---|---|---|---|---|
| Method | Avg [s] | Std [s] | Method | Avg [s] | Std [s] | Method | Avg [s] | Std [s] |
| Two-Step | 53.3 | 47.0 | Two-Step | 54.6 | 62.4 | Two-Step | 69.2 | 53.0 |
| Ltd. Com. | 181.7 | 349.4 | Ltd. Com. | 167.5 | 359.9 | Ltd. Com. | 291.1 | 570.5 |
| No Com. | 237.4 | 439.3 | No Com. | 240.4 | 559.1 | No Com. | 384.7 | 542.5 |
| LVK O3a | LVK O4 | LVK O5 | ||||||
|---|---|---|---|---|---|---|---|---|
| Method | Avg [s] | Std [s] | Method | Avg [s] | Std [s] | Method | Avg [s] | Std [s] |
| Two-Step | 87.3 | 115.8 | Two-Step | 89.0 | 157.3 | Two-Step | 123.1 | 137.7 |
| Ltd. Com. | 195.2 | 348.8 | Ltd. Com. | 178.3 | 397.9 | Ltd. Com. | 308.1 | 507.2 |
| No Com. | 244.8 | 454.3 | No Com. | 244.5 | 568.5 | No Com. | 395.0 | 546.0 |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Skorohod, D.; Birnholtz, O. Two-Step Localization Method for Electromagnetic Follow-Up of LIGO-Virgo-KAGRA Gravitational-Wave Triggers. Universe 2026, 12, 21. https://doi.org/10.3390/universe12010021
Skorohod D, Birnholtz O. Two-Step Localization Method for Electromagnetic Follow-Up of LIGO-Virgo-KAGRA Gravitational-Wave Triggers. Universe. 2026; 12(1):21. https://doi.org/10.3390/universe12010021
Chicago/Turabian StyleSkorohod, Daniel, and Ofek Birnholtz. 2026. "Two-Step Localization Method for Electromagnetic Follow-Up of LIGO-Virgo-KAGRA Gravitational-Wave Triggers" Universe 12, no. 1: 21. https://doi.org/10.3390/universe12010021
APA StyleSkorohod, D., & Birnholtz, O. (2026). Two-Step Localization Method for Electromagnetic Follow-Up of LIGO-Virgo-KAGRA Gravitational-Wave Triggers. Universe, 12(1), 21. https://doi.org/10.3390/universe12010021

