Products
  • Wolfram|One

    The definitive Wolfram Language and notebook experience

  • Mathematica

    The original technical computing environment

  • Notebook Assistant + LLM Kit

    All-in-one AI assistance for your Wolfram experience

  • Compute Services
  • System Modeler
  • Finance Platform
  • Wolfram|Alpha Notebook Edition
  • Application Server
  • Enterprise Private Cloud
  • Wolfram Engine
  • Wolfram Player
  • Wolfram Cloud App
  • Wolfram Player App

More mobile apps

Core Technologies of Wolfram Products

  • Wolfram Language
  • Computable Data
  • Wolfram Notebooks
  • AI & Linguistic Understanding

Deployment Options

  • Wolfram Cloud
  • wolframscript
  • Wolfram Engine Community Edition
  • Wolfram LLM API
  • WSTPServer
  • Wolfram|Alpha APIs

From the Community

  • Function Repository
  • Community Paclet Repository
  • Example Repository
  • Neural Net Repository
  • Prompt Repository
  • Wolfram Demonstrations
  • Data Repository
  • Group & Organizational Licensing
  • All Products
Consulting & Solutions

We deliver solutions for the AI era—combining symbolic computation, data-driven insights and deep technical expertise

  • Data & Computational Intelligence
  • Model-Based Design
  • Algorithm Development
  • Wolfram|Alpha for Business
  • Blockchain Technology
  • Education Technology
  • Quantum Computation

Wolfram Consulting

Wolfram Solutions

  • Data Science
  • Artificial Intelligence
  • Biosciences
  • Healthcare Intelligence
  • Sustainable Energy
  • Control Systems
  • Enterprise Wolfram|Alpha
  • Blockchain Labs

More Wolfram Solutions

Wolfram Solutions For Education

  • Research Universities
  • Colleges & Teaching Universities
  • Junior & Community Colleges
  • High Schools
  • Educational Technology
  • Computer-Based Math

More Solutions for Education

  • Contact Us
Learning & Support

Get Started

  • Wolfram Language Introduction
  • Fast Intro for Programmers
  • Fast Intro for Math Students
  • Wolfram Language Documentation

More Learning

  • Highlighted Core Areas
  • Demonstrations
  • YouTube
  • Daily Study Groups
  • Wolfram Schools and Programs
  • Books

Grow Your Skills

  • Wolfram U

    Courses in computing, science, life and more

  • Community

    Learn, solve problems and share ideas.

  • Blog

    News, views and insights from Wolfram

  • Resources for

    Software Developers

Tech Support

  • Contact Us
  • Support FAQs
  • Support FAQs
  • Contact Us
Company
  • About Wolfram
  • Career Center
  • All Sites & Resources
  • Connect & Follow
  • Contact Us

Work with Us

  • Student Ambassador Initiative
  • Wolfram for Startups
  • Student Opportunities
  • Jobs Using Wolfram Language

Educational Programs for Adults

  • Summer School
  • Winter School

Educational Programs for Youth

  • Middle School Camp
  • High School Research Program
  • Computational Adventures

Read

  • Stephen Wolfram's Writings
  • Wolfram Blog
  • Wolfram Tech | Books
  • Wolfram Media
  • Complex Systems

Educational Resources

  • Wolfram MathWorld
  • Wolfram in STEM/STEAM
  • Wolfram Challenges
  • Wolfram Problem Generator

Wolfram Initiatives

  • Wolfram Science
  • Wolfram Foundation
  • History of Mathematics Project

Events

  • Stephen Wolfram Livestreams
  • Online & In-Person Events
  • Contact Us
  • Connect & Follow
Wolfram|Alpha
  • Your Account
  • User Portal
  • Wolfram Cloud
  • Products
    • Wolfram|One
    • Mathematica
    • Notebook Assistant + LLM Kit
    • Compute Services
    • System Modeler
    • Finance Platform
    • Wolfram|Alpha Notebook Edition
    • Application Server
    • Enterprise Private Cloud
    • Wolfram Engine
    • Wolfram Player
    • Wolfram Cloud App
    • Wolfram Player App

    More mobile apps

    • Core Technologies
      • Wolfram Language
      • Computable Data
      • Wolfram Notebooks
      • AI & Linguistic Understanding
    • Deployment Options
      • Wolfram Cloud
      • wolframscript
      • Wolfram Engine Community Edition
      • Wolfram LLM API
      • WSTPServer
      • Wolfram|Alpha APIs
    • From the Community
      • Function Repository
      • Community Paclet Repository
      • Example Repository
      • Neural Net Repository
      • Prompt Repository
      • Wolfram Demonstrations
      • Data Repository
    • Group & Organizational Licensing
    • All Products
  • Consulting & Solutions

    We deliver solutions for the AI era—combining symbolic computation, data-driven insights and deep technical expertise

    WolframConsulting.com

    Wolfram Solutions

    • Data Science
    • Artificial Intelligence
    • Biosciences
    • Healthcare Intelligence
    • Sustainable Energy
    • Control Systems
    • Enterprise Wolfram|Alpha
    • Blockchain Labs

    More Wolfram Solutions

    Wolfram Solutions For Education

    • Research Universities
    • Colleges & Teaching Universities
    • Junior & Community Colleges
    • High Schools
    • Educational Technology
    • Computer-Based Math

    More Solutions for Education

    • Contact Us
  • Learning & Support

    Get Started

    • Wolfram Language Introduction
    • Fast Intro for Programmers
    • Fast Intro for Math Students
    • Wolfram Language Documentation

    Grow Your Skills

    • Wolfram U

      Courses in computing, science, life and more

    • Community

      Learn, solve problems and share ideas.

    • Blog

      News, views and insights from Wolfram

    • Resources for

      Software Developers
    • Tech Support
      • Contact Us
      • Support FAQs
    • More Learning
      • Highlighted Core Areas
      • Demonstrations
      • YouTube
      • Daily Study Groups
      • Wolfram Schools and Programs
      • Books
    • Support FAQs
    • Contact Us
  • Company
    • About Wolfram
    • Career Center
    • All Sites & Resources
    • Connect & Follow
    • Contact Us

    Work with Us

    • Student Ambassador Initiative
    • Wolfram for Startups
    • Student Opportunities
    • Jobs Using Wolfram Language

    Educational Programs for Adults

    • Summer School
    • Winter School

    Educational Programs for Youth

    • Middle School Camp
    • High School Research Program
    • Computational Adventures

    Read

    • Stephen Wolfram's Writings
    • Wolfram Blog
    • Wolfram Tech | Books
    • Wolfram Media
    • Complex Systems
    • Educational Resources
      • Wolfram MathWorld
      • Wolfram in STEM/STEAM
      • Wolfram Challenges
      • Wolfram Problem Generator
    • Wolfram Initiatives
      • Wolfram Science
      • Wolfram Foundation
      • History of Mathematics Project
    • Events
      • Stephen Wolfram Livestreams
      • Online & In-Person Events
    • Contact Us
    • Connect & Follow
  • Wolfram|Alpha
  • Wolfram Cloud
  • Your Account
  • User Portal
Wolfram Language & System Documentation Center
TLE (.tle, .tce)
  • See Also
    • Import
    • CloudImport

    • Formats
    • SP3
  • Related Guides
    • Geospatial Formats
    • Importing & Exporting
    • Importing & Exporting Database Formats
    • Listing of All Formats
    • See Also
      • Import
      • CloudImport

      • Formats
      • SP3
    • Related Guides
      • Geospatial Formats
      • Importing & Exporting
      • Importing & Exporting Database Formats
      • Listing of All Formats
IMPORT/EXPORT FORMAT
  • See Also
    • Import
    • CloudImport

    • Formats
    • SP3
  • Related Guides
    • Geospatial Formats
    • Importing & Exporting
    • Importing & Exporting Database Formats
    • Listing of All Formats
    • See Also
      • Import
      • CloudImport

      • Formats
      • SP3
    • Related Guides
      • Geospatial Formats
      • Importing & Exporting
      • Importing & Exporting Database Formats
      • Listing of All Formats

TLE (.tle, .tce)

  • Import fully supports the TLE format.

Background & Context

    • TLE geospatial file format.
    • Satellite data format.
    • Stores Keplerian parameters of satellite orbits.
    • TLE is an acronym for Two-Line Element.
    • ASCII format.
    • Developed by the North American Aerospace Defense Command (NORAD).

Import

  • Import["file.tle"] imports a TLE file, returning all position data as an array.
  • Import["file.tle"] returns a three-dimensional array that represents the positions of several satellites at different times.
  • Import["file.tle",elem] imports the specified element from a TLE file.
  • Import["file.tle",{{elem1,elem2,…}}] imports multiple elements.
  • The import format can be specified with Import["file","TLE"] or Import["file",{"TLE",elem,…}].
  • See the following reference pages for full general information:
  • Importimport from a file
    CloudImportimport from a cloud object
    ImportStringimport from a string
    ImportByteArrayimport from a byte array

Import Elements

  • General Import elements:
  • "Elements" list of elements and options available in this file
    "Summary"summary of the file
    "Rules"list of rules for all available elements
  • Data representation elements:
  • "Data"all data elements given as an array
    "LabeledData"data columns given as a list of rules
    "Labels"column headers as a list of strings
    "Tabular"table data as a Tabular object
  • Import uses the "LabeledData" element by default.
  • Import["file.tle","id"] gives all available data for the satellite with the specified identification string as a list of rules.
  • Import["file.tle",n] gives all available data for TLE record n as a list of rules.
  • Detailed data representation elements:
  • "ArgumentPeriapsis"angle of point of closest approach to Earth
    "AscendingNodeRightAscension"right ascension of the ascending node
    "BStar"B* atmospheric drag parameter
    "Classification"classification identifier
    "Eccentricity"orbit eccentricity
    "ElementNumber"revision number of orbital element set
    "EphemerisType"model used to generate orbital parameters
    "EpochDate"time reference point
    "Inclination"orbital angle of inclination
    "InternationalDesignator"international designator (COSPAR or NSSDC name)
    "LaunchYear"year of launch
    "MeanAnomaly"mean anomaly parameter
    "MeanMotion"revolutions per day
    "MeanMotionChangeRate"first derivative of mean motion (ndot2 parameter)
    "Name"full satellite name
    "RevolutionNumber"number of revolutions completed by the epoch date
    "SatelliteID"NORAD satellite number

Examples

open all close all

Basic Examples  (3)

Import the first dataset from a TLE file:

List available elements:

Import data for the specified satellite identification code:

Scope  (1)

Import data as a Tabular object:

Applications  (2)

Import all datasets from a file:

See Also

Import  CloudImport

Formats: SP3

Related Guides

    ▪
  • Geospatial Formats
  • ▪
  • Importing & Exporting
  • ▪
  • Importing & Exporting Database Formats
  • ▪
  • Listing of All Formats

History

Introduced in 2010 (8.0) | Updated in 2025 (14.3)

Top
Introduction for Programmers
Introductory Book
Wolfram Function Repository | Wolfram Data Repository | Wolfram Data Drop | Wolfram Language Products
Top
  • Products
  • Wolfram|One
  • Mathematica
  • Notebook Assistant + LLM Kit
  • Compute Services
  • System Modeler

  • Wolfram|Alpha Notebook Edition
  • Wolfram|Alpha Pro
  • Mobile Apps

  • Wolfram Engine
  • Wolfram Player

  • Volume & Site Licensing
  • Server Deployment Options
  • Consulting
  • Wolfram Consulting
  • Repositories
  • Data Repository
  • Function Repository
  • Community Paclet Repository
  • Neural Net Repository
  • Prompt Repository

  • Wolfram Language Example Repository
  • Notebook Archive
  • Wolfram GitHub
  • Learning
  • Wolfram U
  • Wolfram Language Documentation
  • Webinars & Training
  • Educational Programs

  • Wolfram Language Introduction
  • Fast Introduction for Programmers
  • Fast Introduction for Math Students
  • Books

  • Wolfram Community
  • Wolfram Blog
  • Public Resources
  • Wolfram|Alpha
  • Wolfram Problem Generator
  • Wolfram Challenges

  • Computer-Based Math
  • Computational Thinking
  • Computational Adventures

  • Demonstrations Project
  • Wolfram Data Drop
  • MathWorld
  • Wolfram Science
  • Wolfram Media Publishing
  • Customer Resources
  • Store
  • Product Downloads
  • User Portal
  • Your Account
  • Organization Access

  • Support FAQ
  • Contact Support
  • Company
  • About Wolfram
  • Careers
  • Contact
  • Events
Wolfram Community Wolfram Blog
Legal & Privacy Policy
WolframAlpha.com | WolframCloud.com
© 2026 Wolfram
© 2026 Wolfram | Legal & Privacy Policy |
English