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    • Home (overview)
    • Intro · what is cislunar space
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  • Cislunar glossary (terms & definitions)

    • Cislunar Space Glossary
    • Fundamentals

      • Allan Deviation (ADEV)
      • Dual One-Way Ranging (DOWR)
      • Einstein Equivalence Principle (EEP)
      • Gravitational Redshift
      • High Altitude Airship (HAA)
      • Near-space
      • Passive Hydrogen Maser (PHM)
      • Stratospheric Airship
      • /en/glossary/fundamentals/absolute-range/
      • /en/glossary/fundamentals/aerodynamic-coefficient/
      • /en/glossary/fundamentals/aerodynamic-moment/
      • /en/glossary/fundamentals/aerospace-vehicle/
      • /en/glossary/fundamentals/ballistic-coefficient/
      • /en/glossary/fundamentals/bi-elliptic-transfer/
      • /en/glossary/fundamentals/body-frame/
      • /en/glossary/fundamentals/celestial-coordinate-system/
      • /en/glossary/fundamentals/celestial-sphere/
      • /en/glossary/fundamentals/characteristic-velocity/
      • /en/glossary/fundamentals/coverage-angle/
      • /en/glossary/fundamentals/earth-ellipsoid/
      • /en/glossary/fundamentals/earth-oblateness-perturbation/
      • /en/glossary/fundamentals/ecef-frame/
      • /en/glossary/fundamentals/energy-parameter/
      • /en/glossary/fundamentals/finite-thrust-maneuver/
      • /en/glossary/fundamentals/free-flight-phase/
      • /en/glossary/fundamentals/free-flight-trajectory/
      • /en/glossary/fundamentals/frozen-orbit/
      • /en/glossary/fundamentals/gaussian-perturbation-equations/
      • /en/glossary/fundamentals/geocentric-inertial-frame/
      • /en/glossary/fundamentals/gps-time/
      • /en/glossary/fundamentals/gravitational-potential/
      • /en/glossary/fundamentals/gravity-turn/
      • /en/glossary/fundamentals/gravity-vs-gravitation/
      • /en/glossary/fundamentals/hit-equation/
      • /en/glossary/fundamentals/hohmann-transfer/
      • /en/glossary/fundamentals/inertial-navigation-system/
      • /en/glossary/fundamentals/instantaneous-balance/
      • /en/glossary/fundamentals/isru/
      • /en/glossary/fundamentals/julian-date/
      • /en/glossary/fundamentals/kepler-equation/
      • /en/glossary/fundamentals/kompsat/
      • /en/glossary/fundamentals/lagrangian-perturbation-equations/
      • /en/glossary/fundamentals/launch-azimuth/
      • /en/glossary/fundamentals/launch-window/
      • /en/glossary/fundamentals/lift-to-drag-ratio/
      • /en/glossary/fundamentals/load-factor/
      • /en/glossary/fundamentals/longitudinal-lateral-motion/
      • /en/glossary/fundamentals/lunar-lander/
      • /en/glossary/fundamentals/minimum-energy-trajectory/
      • /en/glossary/fundamentals/newton-iteration-method/
      • /en/glossary/fundamentals/nutation/
      • /en/glossary/fundamentals/optimal-velocity-inclination/
      • /en/glossary/fundamentals/orbit-capture/
      • /en/glossary/fundamentals/orbit-insertion-conditions/
      • /en/glossary/fundamentals/orbital-elements/
      • /en/glossary/fundamentals/orbital-equation/
      • /en/glossary/fundamentals/orbital-maneuver/
      • /en/glossary/fundamentals/orbital-phase/
      • /en/glossary/fundamentals/orbital-transfer-vehicle/
      • /en/glossary/fundamentals/perturbation-motion/
      • /en/glossary/fundamentals/phasing-orbit/
      • /en/glossary/fundamentals/pitch-program/
      • /en/glossary/fundamentals/powered-phase/
      • /en/glossary/fundamentals/precession/
      • /en/glossary/fundamentals/pressure-center/
      • /en/glossary/fundamentals/range-error-coefficient/
      • /en/glossary/fundamentals/reentry-corridor/
      • /en/glossary/fundamentals/reentry-phase/
      • /en/glossary/fundamentals/repeat-ground-track-orbit/
      • /en/glossary/fundamentals/reusable-launch-vehicle/
      • /en/glossary/fundamentals/satellite-ring/
      • /en/glossary/fundamentals/sequential-quadratic-programming/
      • /en/glossary/fundamentals/skip-reentry/
      • /en/glossary/fundamentals/solar-exposure-factor/
      • /en/glossary/fundamentals/specific-angular-momentum/
      • /en/glossary/fundamentals/specific-impulse/
      • /en/glossary/fundamentals/stagnation-heat-flux/
      • /en/glossary/fundamentals/standard-atmosphere/
      • /en/glossary/fundamentals/subsatellite-track/
      • /en/glossary/fundamentals/sun-synchronous-orbit/
      • /en/glossary/fundamentals/thrust-to-weight-ratio/
      • /en/glossary/fundamentals/thrust/
      • /en/glossary/fundamentals/total-angle-of-attack/
      • /en/glossary/fundamentals/trajectory-equation/
      • /en/glossary/fundamentals/trajectory-optimization/
      • /en/glossary/fundamentals/trim-angle-of-attack/
      • /en/glossary/fundamentals/true-anomaly/
      • /en/glossary/fundamentals/tsiolkovsky-equation/
      • /en/glossary/fundamentals/turning-program/
      • /en/glossary/fundamentals/two-body-problem/
      • /en/glossary/fundamentals/utc/
      • /en/glossary/fundamentals/variation-of-parameters/
      • /en/glossary/fundamentals/velocity-frame/
      • /en/glossary/fundamentals/velocity-inclination-angle/
      • /en/glossary/fundamentals/vis-viva-equation/
      • /en/glossary/fundamentals/vleo/
      • /en/glossary/fundamentals/walker-constellation/
      • /en/glossary/fundamentals/zero-angle-of-attack-reentry/
    • Dynamics & Math

      • A* Search Algorithm (A* Search)
      • A2PPO (Attention-Augmented Proximal Policy Optimization)
      • Action-Angle Variables
      • Backstepping Sliding Mode Control
      • Backward Stability Set
      • Bang-bang Control (Bang-bang Control)
      • Barycentric Synodic Coordinate System
      • Batch Deployment (Batch Deployment)
      • Bicircular Four-Body Problem
      • Birkhoff-Gustavson Normal Form
      • Buoyancy-weight Imbalance
      • Capture Set
      • Central Manifold
      • Chaos Effect
      • Clohessy-Wiltshire (CW) Equation
      • Co-state Normalization (Co-state Normalization)
      • Coasting Arc (Coasting Arc)
      • Continuation Method (Parameter Continuation)
      • Continuation (延拓)
      • Cooperative Agent (CA)
      • CR3BP with Low-Thrust (CR3BP-LT)
      • Circular Restricted Three-Body Problem (CR3BP)
      • Curriculum Learning
      • Deep Reinforcement Learning
      • Differential Correction (微分修正)
      • Differential Evolution (DE) Algorithm
      • Differential Games (Differential Games)
      • Direct Collocation
      • Dynamic Programming (Dynamic Programming)
      • Dynamic Target Method
      • Ephemeris Model
      • Equinoctial Orbital Elements (Equinoctial Orbital Elements)
      • Fuzzy Backstepping Control
      • Generalized Advantage Estimation (GAE)
      • Gaussian Process Regression
      • Geocentric Rotating Coordinate System (GRC)
      • Heteroclinic Orbit Transfer (Heteroclinic Orbit Transfer)
      • Hill Three-Body Problem
      • Homotopy Method (Homotopy Method)
      • Improved Baseline Control-Point Method (Improved Baseline Control-Point Method)
      • Impulsive Maneuver (脉冲机动)
      • Initial Value Optimization
      • Invariant Manifold (Invariant Manifold)
      • J2000 Geocentric Equatorial Coordinate System (J2000 Geocentric Equatorial Coordinate System)
      • Jacobi Constant (Jacobi Integral)
      • K-Means Clustering (K-Means Clustering)
      • K-Medoids Clustering (K-Medoids Clustering)
      • KD-Tree (KD-Tree)
      • Libration Point (Equilibrium Point)
      • Libration Point Spacecraft Body Coordinate System (Libration Point Spacecraft Body Coordinate System)
      • Libration Point Spacecraft Orbital Coordinate System (Libration Point Spacecraft Orbital Coordinate System)
      • Lindstedt-Poincare Method (Lindstedt-Poincare Method)
      • L2-centered Rotating Coordinate System (L2-centered Rotating Coordinate System, LRC)
      • Low-Thrust Transfer MDP Formulation
      • Mass Discontinuity (Mass Discontinuity)
      • Monodromy Matrix
      • Newton-Euler Equations
      • Particle Swarm Optimization
      • Patch Point (Splicing Point)
      • Patched Method (拼接法)
      • Poincaré Map (庞加莱图)
      • Poincaré Section
      • Quasi-Bicircular Problem (QBCP)
      • Quasi-Bicircular Four-Body Problem
      • Regional Station-keeping Control
      • Seven-node Model
      • Shooting Method
      • Six-DOF Motion Equations
      • Sliding Mode Control
      • Solar Radiation Pressure (SRP)
      • Stability Index
      • Stability Set
      • State Transition Matrix (STM)
      • Static Lift
      • Strobe Map
      • Targeting Method
      • Thermo-mechanical Coupling Model
      • Thermodynamic Model
      • Two-Level Differential Correction Method
      • Two-node Model
      • Variational Mode Decomposition
      • Zero-Velocity Surface
      • /en/glossary/dynamics/ddpg/
      • /en/glossary/dynamics/hcpso/
      • /en/glossary/dynamics/mo-mcts/
      • /en/glossary/dynamics/nsga-ii/
      • /en/glossary/dynamics/pareto-optimal/
      • /en/glossary/dynamics/pontryagin-principle/
      • /en/glossary/dynamics/pseudo-arclength-continuation/
      • /en/glossary/dynamics/pursuit-evasion-game/
      • /en/glossary/dynamics/q-law/
      • /en/glossary/dynamics/reachable-set/
      • /en/glossary/dynamics/reduced-order-dynamics/
      • /en/glossary/dynamics/regularization/
      • /en/glossary/dynamics/rlepeso/
      • /en/glossary/dynamics/saddle-point-strategy/
      • /en/glossary/dynamics/state-dependent-tsp/
      • /en/glossary/dynamics/two-dominant-invariant-manifold/
      • /en/glossary/dynamics/zero-effort-miss/
    • Mission orbits

      • Apolune (远月点)
      • Ballistic Capture Orbit
      • Cycler Trajectory
      • DRO Constellation
      • Distant Retrograde Orbit (DRO)
      • Earth-Moon L1/L2 Halo Orbit (EML1/EML2 Halo)
      • Free-Return Trajectory (自由返回轨道)
      • Full Lunar Surface Coverage Orbit
      • Halo Orbit (Halo 轨道)
      • Lissajous Orbit (Lissajous 轨道)
      • Low-Energy Transfer Orbit
      • Lyapunov Orbit (Lyapunov 轨道)
      • Multi-Revolution Halo Orbit
      • Near-Rectilinear Halo Orbit (NRHO)
      • Orbit Identification
      • Orbit Keeping (Station-Keeping)
      • Parking Orbit (停泊轨道)
      • Perilune (近月点)
      • Prograde (顺行)
      • Quasi-Periodic Orbit
      • Resonance Orbit
      • Retrograde (逆行)
      • Transfer Orbit (转移轨道)
      • /en/glossary/orbits/axial-orbit/
      • /en/glossary/orbits/butterfly-orbit/
      • /en/glossary/orbits/dpo/
      • /en/glossary/orbits/horseshoe-orbit/
      • /en/glossary/orbits/hub-and-spoke/
      • /en/glossary/orbits/lopo/
      • /en/glossary/orbits/polynomial-constraint-stationkeeping/
      • /en/glossary/orbits/primary-impulse-transfer/
      • /en/glossary/orbits/vertical-orbit/
    • Navigation

      • Altitude Regulation
      • Cislunar Spatiotemporal Reference
      • Earth-Moon Hybrid Navigation
      • Earth GNSS Weak Signal Navigation
      • Inter-Satellite Link Navigation
      • LiAISON Navigation
      • LunaNet (Lunar Network)
      • Lunar Navigation Constellation
      • Moonlight Initiative
      • Tiandu-1
      • Trajectory Planning
      • X-ray Pulsar Navigation
      • /en/glossary/navigation/autonomous-navigation/
      • /en/glossary/navigation/extended-kalman-filter/
      • /en/glossary/navigation/gagan/
      • /en/glossary/navigation/irnss/
      • /en/glossary/navigation/observability/
      • /en/glossary/navigation/orbit-identification/
      • /en/glossary/navigation/pnt/
      • /en/glossary/navigation/sem-autonomous-navigation/
    • Lunar minerals

      • Changeite-Ce (Cerium Changeite)
      • Changeite-Mg (Magnesium Changeite)
    • Programs & missions

      • Artemis Program
      • LuGRE Experiment
    • Other

      • Actuator Error
      • Chain-of-Thought (CoT) Prompting
      • Cislunar Navigation Prospects
      • Cislunar Space (地月空间)
      • EXOSIMS
      • Floquet Mode Method
      • Impulse Thrust
      • Insertion Error
      • Low Earth Orbit / LEO (低地球轨道)
      • Low-Rank Adaptation (LoRA)
      • Lunar Gravity Assist / LGA (月球借力)
      • Navigation Error
      • Noncooperative Target
      • Nuclear Thermal Propulsion (NTP)
      • Orbit Insertion (入轨)
      • Period-Doubling Bifurcation
      • Longitudinal Coupling Vibration (POGO)
      • Powered Lunar Flyby / PLF (有动力月球借力)
      • Prompt Tuning (P-tuning)
      • Reflection Coefficient (C_R)
      • Solar Constant (S₀)
      • Space Traffic Management (STM)
      • Spacecraft Intention Recognition
      • Starshade
      • Weak Stability Boundary / WSB (弱稳定边界)
      • /en/glossary/other/gslv/
      • /en/glossary/other/insat/
      • /en/glossary/other/orbital-residence-platform/
      • /en/glossary/other/pslv/
      • /en/glossary/other/pursuit-evasion-defense/
    • Organizations

      • Anduril Industries
      • Booz Allen Hamilton
      • General Dynamics Mission Systems
      • GITAI USA
      • Lockheed Martin
      • Northrop Grumman
      • Quindar
      • Raytheon Missiles & Defense
      • Sci-Tec
      • SpaceX
      • True Anomaly
      • Turion Space
      • /en/glossary/organizations/danuri/
      • /en/glossary/organizations/isro/
      • /en/glossary/organizations/kasa/
      • /en/glossary/organizations/sriharikota/
      • /en/glossary/organizations/true-anomaly-company/
    • Military space doctrine

      • Cislunar Space Situational Awareness
      • Competitive Endurance
      • Component Field Commands
      • Commander, Space Forces (COMSPACEFOR)
      • Counterspace Operations
      • DOTMLPF-P Framework
      • Force Design
      • Force Development
      • Force Employment
      • Force Generation
      • Golden Dome
      • Mission Command
      • Mission Delta (MD)
      • Operational Test and Training Infrastructure (OTTI)
      • Resilient/Disaggregated Architecture
      • Space Domain Awareness (SDA)
      • Space Mission Task Force (SMTF)
      • Space Superiority
      • Space Force Generation Process (SPAFORGEN)
      • System Delta (SYD)
      • /en/glossary/doctrine/asat/
      • /en/glossary/doctrine/civil-military-integration/
      • /en/glossary/doctrine/directed-energy-weapon/
      • /en/glossary/doctrine/distributed-architecture/
      • /en/glossary/doctrine/kinetic-weapon/
      • /en/glossary/doctrine/persistent-detection-corridor/
      • /en/glossary/doctrine/resilience-map/
    • Observation techniques

      • Astrometry
      • Background Star Elimination
      • Cislunar Moving Objects
      • Continuous Coverage (CP)
      • Earth Albedo
      • Ephemeris Correlation
      • Hot Pixel
      • Image Registration
      • Image Stacking
      • Lunar Glare Zone
      • Quasi-zero Wind Layer
      • Segmentation Map
      • Shift-and-Add (SAA)
      • Sidereal Tracking
      • Signal-to-Noise Ratio (SNR)
      • Solar Radiation
      • Source Extraction
      • Synthetic Tracking
      • Zonal Wind
      • /en/glossary/observation/illumination-constraint/
      • /en/glossary/observation/pointing-constraint/
    • Satellite Communication & TT&C

      • All-Time Seamless Communication
      • BeiDou Satellite System
      • Constellation Networking
      • Inter-Satellite Link (ISL)
      • Laser-Microwave Communication
      • Microwave Link

Cislunar Spatiotemporal Reference

This article author: 天疆说

Site address: https://cislunarspace.cn

Definition

The Cislunar Spatiotemporal Reference is a fundamental framework that provides a unified spatiotemporal coordinate system for cislunar space activities. It includes high-precision ephemeris models, dynamical models, and gravity field models of the Earth-Moon system. It serves as the essential prerequisite for ensuring navigation, positioning, communication, and precise spacecraft operations in cislunar space.

Core Components

Ephemeris Model

A high-precision ephemeris model describes the precise positions and orbital motions of the Earth, Moon, and other celestial bodies within cislunar space. Unlike near-Earth space, which relies primarily on Earth's gravitational field, cislunar space requires consideration of the multi-body gravitational effects of the Earth, Moon, and Sun. Currently widely used ephemeris models include JPL's DE (Development Ephemeris) series, with internal consistency accuracy for lunar position at the level of several meters.

Gravity Field Model

The gravity field model for cislunar space must precisely characterize the non-spherical gravity of the Earth and Moon and its spatial gradient distribution. The complexity of the lunar gravity field far exceeds that of Earth's gravity field approximation at equivalent scales (due to the significant presence of mascons). Therefore, high-resolution lunar gravity field models are required for compensation in cislunar space missions.

Spatiotemporal Transfer and Traceability

The application of the spatiotemporal reference depends on precise transfer and traceability from Earth's surface reference stations to cislunar space. The main technical methods include:

  • Two-way Time and Frequency Transfer (TWTT): Uses microwave or laser links to exchange time and frequency signals between Earth stations and spacecraft, achieving time synchronization.
  • Very Long Baseline Interferometry (VLBI): Uses multiple ground-based radio telescopes to perform differential observations of deep space probes, achieving angular position precision at the arcsecond to sub-arcsecond level.
  • Lunar Laser Ranging (LLR): Precisely calibrates the lunar orbit and relative distance by measuring the round-trip laser time between Earth and Moon.

Key Challenges

  • Cislunar space (at a scale of 3.8×10⁵ km) is much larger than near-Earth space, posing higher requirements for maintaining and transferring stable time and frequency references.
  • The mascon distribution on the Moon causes gravity field uncertainties to be particularly significant in low lunar orbits, thereby affecting precise orbit determination and prediction accuracy.
  • Non-conservative forces such as solar radiation pressure and Earth's atmospheric drag accumulate non-negligibly over long arcs, requiring refined dynamical compensation models.

Application Value

  • Lunar Mission Navigation: Provides high-precision autonomous navigation capability for crewed lunar landing and uncrewed sample return missions.
  • Lunar Resource Development: Provides a spatial coordinate framework for precise landing site selection and accurate deployment of in-situ resource utilization facilities.
  • International Lunar Research Station: Serves as a unified spatiotemporal service system for multi-national and multi-mission coordination, supporting the long-term operation of lunar research stations.
  • Deep Space Vehicle Operations: Provides high-precision orbital maneuver and rendezvous and docking reference for various cislunar space and deep space vehicles.

Related Concepts

  • Ephemeris Model
  • Circular Restricted Three-Body Problem (CR3BP)
  • Quasi-Bicircular Four-Body Problem (QBCP)
  • Distant Retrograde Orbit (DRO)
  • Near Rectilinear Halo Orbit (NRHO)
  • Earth-Moon L1/L2 Halo Orbit

References

  • 2026 Aerospace Science Issues and Technical Challenges Released, China Aerospace Conference (CSC2026), 2026.
  • Park R S, Folkner W M, Williams J G, et al. The JPL planetary and lunar ephemerides DE440 and DE441[J]. The Astronomical Journal, 2021.
  • Mazarico E, Barker M K, Neumann G A, et al. Advanced illumination modeling for data analysis and calibration of the Lunar Reconnaissance Orbiter[J]. 2020.
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Last Updated: 4/29/26, 11:30 AM
Contributors: Hermes Agent, Cron Job
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