=== Jabinary for BSP : A Test code for reading BSP files ( JPL DE ) by javascript ===

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Harmonics of the Planets

- Humming of the Solar System -

Revealed Jupiters voice by cancelling long-term waves
Revealed Jupiters voice by cancelling long-term waves.

THIS PROJECT REVEALS 'THE PLANETS VOICE' BY COMPARERING DE440 AND EXTENDED JPL-EQ.
IT'S A CHALLENGE FOR REVISE JPL-EQ IN THE PRECISION TO DE440 !
- ISO00TEN / TINY STAR VIEWER -

TRY TO IT! (JAVASCRIPT)

Load DE440s.bsp :

Execute Checker Program :



Graph: GRAPH

SAMPLE PLANETARY VOICES

Audio Preview

Listen to the extracted lunar signals:

WHAT’S THIS? These audio files are generated directly from DE440 lunar motion. The BASE channel produces a pulse-like signal, the DEC channel reveals complex vertical motion, and the ALPHA channel is synthesized as a triangular-wave carrier because the Moon has no analytical JPL‑EQ model.

Audio Representation of Lunar Motion

The lunar system provides three distinct audio components derived from its orbital motion: BASE, DEC, and ALPHA. Each reflects a different aspect of the Moon’s dynamics when converted into audible frequencies.

BASE — Low‑frequency Pulse

The BASE channel represents the fundamental radial component of the lunar motion. When converted to audio, it produces a pulse-like signal reminiscent of a distress beacon. This characteristic arises from the strong amplitude modulation present in the DE440 solution, where long-period terms dominate the envelope structure.

DEC — Complex Mechanical Motion

The DEC channel corresponds to the vertical component of the lunar position. Due to the combined effects of libration, precession, and perturbations from Earth and the Sun, the DEC waveform contains multiple overlapping frequencies. When rendered as audio, it resembles a layered mechanical system with intricate internal motion.

ALPHA — Pure Carrier or Triangular Approximation

Unlike the planets, the Moon does not have an analytical JPL‑EQ model. Therefore, a true ALPHA residual (DE440 minus analytical model) cannot be obtained. However, a carrier signal can still be generated directly from the DE440 longitude data. When converted through AM processing, this produces a clear, voice-like tone. Alternatively, a triangular-wave approximation of the ALPHA carrier can be synthesized to provide a simplified representation of the lunar longitudinal motion.

Together, these three channels form the “voice” of the Moon: a heartbeat-like BASE pulse, a complex DEC machinery, and a melodic ALPHA carrier. These audio forms serve as the foundation for the Early Access release of the planetary voice project.

- Reports of this project -

Research Reports

Abstract

This study investigates the harmonic structures hidden in planetary ephemerides by comparing NASA JPL’s DE440 with an extended analytical JPL-EQ model. By removing long-term components, we reveal short-period oscillations — the so‑called “planetary voices.” The goal is to refine analytical ephemerides toward DE440‑level precision.

Introduction

Planetary ephemerides describe the positions and motions of bodies in the Solar System. NASA JPL’s DE440 is one of the most precise numerical ephemerides available, while analytical models such as JPL-EQ provide compact approximations suitable for computation. This project aims to examine the differences between DE440 and an extended JPL-EQ model, focusing on the harmonic components that emerge from their residuals.

Methodology

The DE440 binary ephemeris file (BSP format) is loaded and evaluated using a custom JavaScript parser. The analytical JPL-EQ model is computed in parallel. Residuals are obtained by subtracting the analytical values from DE440. Long-term components are removed to isolate short-period oscillations. The analysis is performed for multiple bodies including Jupiter, Saturn, Uranus, Neptune, Pluto, and the Sun.

Results

The extracted residuals reveal distinct harmonic signatures for each planetary body. These oscillations represent the “planetary voices,” reflecting differences between numerical and analytical ephemerides. Graphs generated by the simulation interface illustrate these harmonic structures.

Analytics

The harmonic patterns in the residuals come from two sources: (1) real differences between the analytical model and DE440, and (2) small high‑frequency artifacts created by DE440s’ internal 40‑order DCT encoding. When long‑term trends are removed, these tiny numerical oscillations become visible. Thus, the“planetary voices”reflect both physical model limitations and DE440s’computational characteristics.

Discussion

The residual oscillations show where the analytical JPL‑EQ model struggles—mainly in long‑period perturbations and higher‑order interactions. At the same time, part of the structure comes from DE440s itself, whose DCT‑based representation introduces subtle high‑frequency components. Together, these findings point toward two improvements: better analytical modeling of long‑period effects, and a deeper understanding of DE440s’numerical behavior to further reduce residual differences.

Conclusion

This project demonstrates that residual analysis between DE440 and analytical ephemerides can reveal meaningful harmonic structures. These findings may contribute to future improvements in analytical planetary models.

References

  1. Park, R. S., Folkner, W. M., Williams, J. G., & Boggs, D. H. (2021). The JPL Planetary and Lunar Ephemerides DE440 and DE441. The Astronomical Journal, 161, 105.
  2. Jet Propulsion Laboratory, California Institute of Technology. JPL Planetary and Lunar Ephemerides. NASA Solar System Dynamics.
  3. Any additional technical notes or documentation used in the development of the analytical JPL-EQ model.


( UNDER CONSTRUCTION)

ISO00TEN - DATE 2026.03.09 - 2026.04.25

Updates

2026.04.13 The DE440s computation did not include planetary aberration (light‑time correction).
2026.04.25 ( Removed Section 2 - Song Canceller - )
2026.04.25 Added 'Analytics' / Appending to discussion.


Equations from NASA JPL / Tiny Star Viewer