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Chinese satellite launch vehicle
The Hyperbola-1 (aka Shuangquxian-1, SQX-1) (Chinese: 双曲线一号) rocket is 20.8 m (68 ft) tall, 1.4 m (4 ft 7 in) in diameter and weighs 31 t (34 tons). It
Hyperbola-1
Geometric figure
the unit hyperbola is the set of points ( x , y ) {\displaystyle (x,y)} in the Cartesian plane that satisfy the implicit equation x 2 − y 2 = 1 {\displaystyle
Unit_hyperbola
Chinese space launch company
Corporation (CAST). In July 2019, i-Space successfully launched the Hyperbola-1 and reached low Earth orbit on its maiden flight, becoming the first
I-Space_(Chinese_company)
Plane curve: conic section
In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations
Hyperbola
Topics referred to by the same term
wood-boring beetles Hyperbola-1, a Chinese satellite launch vehicle Hyperbola GNU/Linux-libre, a fully free Linux distribution Conjugate hyperbola, symmetric figure
Hyperbola_(disambiguation)
Chinese launch site
LS-95: two pads used for Long March 11, Kuaizhou, Jielong 1, OS-M1, Hyperbola-1, and Ceres-1 launches. Pad A (40°58′11″N 100°20′38″E / 40.9698°N 100
Jiuquan Satellite Launch Center
Jiuquan_Satellite_Launch_Center
Expendable launch system by SpaceX
2008, Falcon 1 became the first privately developed fully liquid-fueled launch vehicle to successfully reach orbit. The Falcon 1 used LOX/RP-1 for both stages
Falcon_1
Chinese commercial satellite system
Spaceflight". nextspaceflight.com. Retrieved 7 November 2025. "Yunyao-1 15-17 | Hyperbola 1 | Next Spaceflight". nextspaceflight.com. Retrieved 7 November 2025.
Yunyao-1
Type of flight control surface
spaceflight history. The 1st stage of the private Chinese company i-Space's Hyperbola-1 rocket appeared on July 25, 2019 to be equipped with steerable grid fins
Grid_fin
Hyperbolic analogues of trigonometric functions
analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle
Hyperbolic_functions
Nose cone of a rocket used to protect spacecraft during launch
stuck within the heat shield ( alternative name for the fairing ). A Hyperbola-1 rocket failed on August 3, 2021. A day after launching, iSpace revealed
Payload_fairing
Linux distribution
Hyperbola GNU/Linux-libre is a Linux distribution for the i686 and x86-64 architectures, including the GNU operating system components and the Linux-libre
Hyperbola_GNU/Linux-libre
Chinese commercial satellite system
• 暨"天书"发射失利后复飞 • 吉林一号魔方01A及配重 • 发射失败" [Hyperbola-1 Y5 • Second launch following failed "Tianshu" launch • JL-1-Cube-01A with counterweight • Launch failed]
Jilin-1
American launch vehicle manufacturer
Investments at a valuation of $4.2 billion, bringing its total funding to $1.335 billion. The funding will help the development of a partially reusable
Relativity_Space
Partially reusable cargo space capsule
SpaceX Dragon 1 is a class of fourteen partially reusable cargo spacecraft developed by SpaceX, an American private space transportation company. The
SpaceX_Dragon_1
Mathematical functions
angle measure is the length of an arc of a unit hyperbola x 2 − y 2 = 1 {\displaystyle x^{2}-y^{2}=1} as measured in the Lorentzian plane (not the length
Inverse_hyperbolic_functions
successful maiden launches of the American Vulcan Centaur and China's Gravity-1, and Long March 12 rockets. The European Ariane 6 rocket also conducted its
2024_in_spaceflight
Symmetric figure defined by a hyperbola
conjugate hyperbola to a given hyperbola shares the same asymptotes but lies in the opposite two sectors of the plane compared to the original hyperbola. A hyperbola
Conjugate_hyperbola
European medium-lift space launch vehicle (1979–1986)
Ariane 1 (French: [aʁjan œ̃]) was the first rocket in the Ariane family of expendable launch systems. It was developed for and operated by the European
Ariane_1
Comparison of all orbital launch systems
Space Page. Retrieved 15 June 2026. Krebs, Gunter. "Shuang Quxian-1 (SQX-1, Hyperbola-1)". Gunter's Space Page. Retrieved 19 September 2026. Krebs, Gunter
Comparison of orbital launch systems
Comparison_of_orbital_launch_systems
2020s class of partially reusable spacecraft
variants: the 4-person Crew Dragon and Cargo Dragon, a replacement for the Dragon 1 cargo capsule. The spacecraft launches atop a Falcon 9 Block 5 rocket, and
SpaceX_Dragon_2
Curve from a cone intersecting a plane
surface intersecting a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse
Conic_section
June 2024. "Hyperbola-1 is scheduled to launch Xiguang-1 004-007 and Agriculture-1 into SSO". 27 June 2024. Retrieved 27 June 2024. "Hyperbola-1 - Unknown
List of spaceflight launches in July–December 2024
List_of_spaceflight_launches_in_July–December_2024
Region of the Cartesian plane bounded by a hyperbola and two radii
bounded by a hyperbola and two rays from the origin to it. For example, the two points (a, 1/a) and (b, 1/b) on the rectangular hyperbola xy = 1, or the corresponding
Hyperbolic_sector
American aerospace, space technology company
Sierra Space announced its first capital raise, a Series A investment of $1.4 billion that valued the company at $4.5 billion USD. In October 2022, Blue
Sierra_Space
Logarithm to the base of the mathematical constant e
hyperbola with equation y = 1 / x {\displaystyle y=1/x} between x = 1 {\displaystyle x=1} and x = a {\displaystyle x=a} . That is, ln a = ∫ 1 a 1 x
Natural_logarithm
Conic sections with the same foci
ellipses and hyperbolas have two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas. In the mixture
Confocal_conic_sections
Angara-1.2 Angara A5 Ariane 6 Atlas V Ceres-1 Electron Falcon 9 new Falcon 9 reused H-IIA H3 GSLV LVM3 PSLV Jielong 3 Kinetica 1
2025_in_spaceflight
All points for which two tangents of a curve intersect at 90° angles
below), The orthoptic of a hyperbola x 2 a 2 − y 2 b 2 = 1 , a > b {\displaystyle {\tfrac {x^{2}}{a^{2}}}-{\tfrac {y^{2}}{b^{2}}}=1,\ a>b} is the director
Orthoptic_(geometry)
launches current as of 23 December 2025. Number of Hyperbola-1 launches current as of 29 July 2025. Jielong 1 launch numbers current as of 17 August 2019. Jielong
Comparison of orbital launcher families
Comparison_of_orbital_launcher_families
Characteristic of conic sections
non-circular ellipse is between 0 and 1. The eccentricity of a parabola is 1. The eccentricity of a hyperbola is greater than 1. The eccentricity of a pair of
Eccentricity_(mathematics)
Air-launched rocket
its launch history, the Pegasus program had three mission failures (STEP-1, STEP-2 and HETI/SAC-B), and two partial failures, (USAF Microsat and STEP-2)
Northrop_Grumman_Pegasus
Term in geometry; longest and shortest semidiameters of an ellipse
a = ℓ e 2 − 1 . {\displaystyle a={\ell \over e^{2}-1}.} The transverse axis of a hyperbola coincides with the major axis. In a hyperbola, a conjugate
Semi-major and semi-minor axes
Semi-major_and_semi-minor_axes
Species of beetle
hyperbola californica Knull, 1947 Hesperorhipis hyperbola hyperbola Knull, 1938 "Hesperorhipis hyperbola Species Information". BugGuide.net. Iowa State
Hesperorhipis_hyperbola
Chinese mid-size crossover SUV
second car to ever be launched into space, as a dummy payload on iSpace's Hyperbola-1 rocket maiden flight. The X7 debuted on the 2019 Shanghai Auto Show and
Changan_CS75_Pro
Spaceflight [@CNSpaceflight] (7 April 2023). "🚀 i-Space successfully launched Hyperbola-1 Y6 from Jiuquan Satellite Launch Center at ~04:00UTC 🎉 Congratulations"
List of spaceflight launches in January–June 2023
List_of_spaceflight_launches_in_January–June_2023
spaceport. China Chinese private company i-Space successfully launched its Hyperbola-1 rocket from Jiuquan Satellite Launch Center and sent several small payloads
Timeline of first orbital launches by country
Timeline_of_first_orbital_launches_by_country
American composer (1931–2021)
in Families of Hyperbolas, Nick Hennies, Quiet Design CD Alas011, 2010 Still and Moving Lines of Silence in Families of Hyperbolas, 1-12, Lovely Music
Alvin_Lucier
Billionaire space rivalry
ISBN 978-1-61039-829-9. Fernholz, Tim (2018). Rocket Billionaires: Elon Musk, Jeff Bezos, and the New Space Race. Houghton Mifflin Harcourt. ISBN 978-1-328-66223-1
Billionaire_space_race
Geometric inversion of a torus, cylinder or double cone
2 + y 2 b 2 = 1 , z = 0 . {\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1,z=0\ .} The hyperbola x 2 c 2 − z 2 b 2 = 1 , y = 0 {\displaystyle
Dupin_cyclide
American aerospace company, founded 1963
2009: Civilian Access to Space (video). Daejeon, Korea: Flightglobal Hyperbola, Rob Coppinger., video comments at 11:30 ff. "Billionaire-Owned Sierra
Sierra_Nevada_Corporation
Amateur crowdfunded human space programme
manually commanded to shut down 16 seconds into flight at an altitude of 1.4 kilometers, with the rocket eventually rising to an apogee of approximately
Copenhagen_Suborbitals
Argument of the hyperbolic functions
area against hyperbola xy = 1, and they both are preserved by squeeze mappings since those mappings preserve area. The hyperbola xy = 1 is rectangular
Hyperbolic_angle
Reals with an extra square root of +1 adjoined
passing through (a, 0) and (−a, 0). The case a = 1 is called the unit hyperbola. The conjugate hyperbola is given by { z : ‖ z ‖ 2 = − a 2 } {\displaystyle
Split-complex_number
private firm currently under development Hyperbola-1 small-lift solid-fueled launch vehicle from private firm Hyperbola-3 medium-lift liquid-fueled (methalox)
Chinese_space_program
Rocket able to lift less than 2,000 kg to low Earth orbit
Gunter. "Jielong-1 (Smart Dragon-1, SD 1)". Gunter's Space Page. Retrieved 2 November 2019. ""双曲线一号S火箭"首飞成功!星际荣耀近期型谱计划出炉!(The Hyperbola 1-S Rocket Made Its
Small-lift_launch_vehicle
Hyperbola-1 fails in Return to Flight attempt". NASASpaceFlight. Retrieved 4 August 2021. "双曲线一号 • 暨"天书"发射失利后复飞 • 吉林一号魔方01A及配重 • 发射失败" [Hyperbola-1 Y5
List of spaceflight launches in July–December 2021
List_of_spaceflight_launches_in_July–December_2021
List of orbital rockets
Bao 1 – Retired Ceres-1 Ceres-1S Ceres-2 - Under development Gravity Gravity-1 Gravity-2 – Under development Hyperbola-1 Hyperbola-3 Jielong Jielong 1 Jielong
List of orbital launch systems
List_of_orbital_launch_systems
OS-M1 in March failed to reach orbit, the maiden flights of Hyperbola-1 in July and of Jielong 1 in August were successful. The PSLV-DL and PSLV-QL variants
2019_in_spaceflight
American public aerospace developer and manufacturer
company headquartered in Jacksonville, Florida. The company was formed on June 1, 2020, by the private equity firm AE Industrial Partners, through the combination
Redwire
Space tourism company
to Space (video, comments at c. 22:00). Daejeon, Korea: Flightglobal Hyperbola, Rob Coppinger. Archived from the original on 18 July 2013. Retrieved
Virgin_Galactic
Plane algebraic curve
circle inversion transformation to a hyperbola, where the center of inversion is the midpoint of the hyperbola's foci. It can also be drawn mechanically
Lemniscate_of_Bernoulli
Space competition and award
The prize was won on October 4, 2004, the 47th anniversary of the Sputnik 1 launch, by the Tier One project designed by Burt Rutan and financed by Microsoft
Ansari_X_Prize
Uncrewed cargo spacecraft developed by Orbital Sciences
increased to $288 million. On December 23, 2008, NASA awarded Orbital Sciences a $1.9 billion contract under the Commercial Resupply Services (CRS) program. Under
Cygnus_(spacecraft)
Spaceflight Now. Retrieved 9 May 2022. Mooney, Justin (13 May 2022). "Hyperbola-1, China's first privately-owned rocket, fails in 2nd consecutive return
List of spaceflight launches in January–June 2022
List_of_spaceflight_launches_in_January–June_2022
from the original (PDF) on 20 March 2012. Retrieved 29 May 2012. SpaceX (1 March 2019). "Dragon". SpaceX. Archived from the original on 2 March 2019
List of private spaceflight companies
List_of_private_spaceflight_companies
SatNet LEO Group 05". Next Spaceflight. Retrieved 14 December 2024. "Hyperbola-1 - Unknown Payload". Next Spaceflight. Retrieved 30 May 2025. @gilmourspace
List of spaceflight launches in July–September 2025
List_of_spaceflight_launches_in_July–September_2025
Launch system that uses a single use launch vehicle
private firm currently under development Hyperbola-1 small-lift solid-fueled launch vehicle from private firm Hyperbola-3 medium-lift liquid-fueled (methalox)
Expendable_launch_system
Unique curve associated with every triangle
In geometry, the Feuerbach hyperbola is a rectangular hyperbola passing through important triangle centers such as the incenter, orthocenter, Gergonne
Feuerbach_hyperbola
Unbounded quadric surface
called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained
Hyperboloid
Mathematical proof technique
on the other branch of the hyperbola, and by reflection through y = x a new point on the original branch of the hyperbola is obtained. It is shown that
Vieta_jumping
Amount by which an orbit deviates from a perfect circle
values between 0 and 1 form an elliptic orbit, 1 is a parabolic (escape orbit or capture orbit), and greater than 1 is a hyperbola. The term derives its
Orbital_eccentricity
NASA program for delivery of cargo to the ISS
first phase of CRS contracts (CRS-1) were signed in 2008 and awarded $1.6 billion to SpaceX for twelve Dragon 1 and $1.9 billion to Orbital Sciences for
Commercial_Resupply_Services
Perpendicular diameters of a circle or hyperbolic-orthogonal diameters of a hyperbola
conjugate hyperbola: "If Q be any point on a hyperbola and CE be drawn from the centre parallel to the tangent at Q to meet the conjugate hyperbola in E,
Conjugate_diameters
2018-084H 102 BIT Progress-OSCAR 102 BO-102 CAS-7B BP-1B 2019-07-25 Hyperbola-1 CHN C-AMSAT Beijing Inst. Tech. 44443 AE: 2019-08-06 2019-043A 103 Navy-OSCAR
List_of_OSCAR_satellites
Belgian Jesuit and mathematician (1584–1667)
and mathematician. He is remembered for his work on quadrature of the hyperbola. He is also known as Gregorio a San Vincente. Grégoire gave the "clearest
Grégoire_de_Saint-Vincent
Circle with radius of one
trigonometric identity Riemannian circle Radian Unit disk Unit sphere Unit hyperbola Unit square Turn (angle) z-transform Smith chart For further discussion
Unit_circle
March 11 PSLV Soyuz-2 Soyuz-2-1v Alpha Ariane 5 Atlas V Hyperbola-1 LVM 3 Proton-M Starship Zhuque-2 Others 25 50 75 100 125 150
2023_in_spaceflight
Development of the mathematical function
logarithms to the quadrature of the hyperbola, by pointing out that the area A(t) under the hyperbola from x = 1 to x = t satisfies A ( t u ) = A ( t
History_of_logarithms
American aerospace company
avoidance, and end-of-life de-orbiting. After four test launches of versions 1.0, 2.0, and 3.0 of the Astra rocket, the company demonstrated orbital capability
Astra_Space
Geometric point from which certain types of curves are constructed
sections, the four types of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define the Cassini oval and the Cartesian
Focus_(geometry)
Archived from the original on 2022-03-23. Retrieved 2020-05-28. "LTV SLV-1 Scout". "Veículo Lançador de Satélites", Wikipédia, a enciclopédia livre (in
Comparison of solid-fuelled orbital launch systems
Comparison_of_solid-fuelled_orbital_launch_systems
Medium-lift expendable rocket by Northrop Grumman
manufactured by Northrop Grumman. The first stage is liquid fueled, burning RP-1 (kerosene) and liquid oxygen (LOX). As Orbital had limited experience with
Antares_(rocket)
Circle formed by all 90° crossings of tangents of an ellipse or hyperbola
In geometry, the director circle of an ellipse or hyperbola (also called the orthoptic circle or Fermat–Apollonius circle) is a circle consisting of all
Director_circle
Number which when multiplied by x equals 1
Division (mathematics) Exponential decay Fraction Group (mathematics) Hyperbola Inverse distribution Inverse element List of sums of reciprocals Repeating
Multiplicative_inverse
Rocket-powered aircraft and spaceplane operated by the US Air Force and NASA
Height: 13 ft 1 in (3.99 m) Wing area: 200 sq ft (19 m2) Empty weight: 14,600 lb (6,622 kg) Gross weight: 33,500 lb (15,195 kg) Powerplant: 1 × Reaction
North_American_X-15
4th-century BC Greek mathematician
then-long-standing problem of doubling the cube using the parabola and hyperbola. Menaechmus is remembered by mathematicians for his discovery of the conic
Menaechmus
Suborbital recoverable launch vehicle of the Spanish company PLD Space
Miura 1 (previously called Arion 1) is a suborbital recoverable launch vehicle developed by the Spanish company PLD Space. It is the first launch vehicle
Miura_1
Partially-reusable medium-lift launch vehicle
methane-fueled medium lift-off systems) LandSpace Zhuque-3 Long March 12A i-Space Hyperbola-3 Soyuz-7 "Rocket Lab targets $50 million launch price for Neutron rocket
Rocket_Lab_Neutron
Belgian mathematician (1618 to 1667)
contributed to the understanding of logarithms, particularly as areas under a hyperbola. Alphonse de Sarasa was born in 1618, in Nieuwpoort in Flanders. In 1632
Alphonse_Antonio_de_Sarasa
Conic plane curve associated with a given triangle
triangle circle (respectively, ellipse, hyperbola, parabola) is used to denote a circle (respectively, ellipse, hyperbola, parabola) associated with the reference
Triangle_conic
Problem in celestial mechanics
{\displaystyle F_{1}} , P 1 {\displaystyle P_{1}} and P 2 {\displaystyle P_{2}} define a hyperbola going through the point F 1 {\displaystyle F_{1}} with foci at
Lambert's_problem
Book by Leonhard Euler
of the hyperbola y = 1/x. Section 122 labels the logarithm to base e the "natural or hyperbolic logarithm...since the quadrature of the hyperbola can be
Introductio in analysin infinitorum
Introductio_in_analysin_infinitorum
Mathematical tool for summing arithmetic functions
theory, the Dirichlet hyperbola method is a technique to evaluate the sum F ( n ) = ∑ k = 1 n f ( k ) {\displaystyle F(n)=\sum _{k=1}^{n}f(k)} . The first
Dirichlet_hyperbola_method
Two-dimensional shape
two constants ℓ = 2 − 1 {\displaystyle \ell ={\sqrt {2}}-1} and m = ( 1 / 2 ) 1 / 4 {\displaystyle m=(1/2)^{1/4}} , the hyperbola is given by the equation
Smoothed_octagon
featured the first successful launch of Long March 6A, Nuri, Angara 1.2, Vega C, Kinetica-1, and Jielong-3. National space agencies' activities in this year
2022_in_spaceflight
Polynomial function of degree two
describe a conic section (a circle or other ellipse, a parabola, or a hyperbola) in the x {\displaystyle x} – y {\displaystyle y} plane. A quadratic
Quadratic_function
American space technology company
files $1.05 mil lawsuit against NASA". 8 News Now. 26 March 2021. Retrieved 26 March 2021. "North Las Vegas space tech firm sues NASA for $1.05M". Las
Bigelow_Aerospace
European medium-lift space launch vehicle (1986–1989)
1979, months prior to the Ariane 1's first flight. Drawing heavily upon both the design and infrastructure of the Ariane 1, the new launcher was concurrently
Ariane_2
7 Soyuz-2 Soyuz-2-1v Soyuz-ST Vega Antares 230+ H-IIA Hyperbola-1 LauncherOne Proton-M Rocket 3 Simorgh Others 10 20 30 40 50
2021_in_spaceflight
Collinearity of the midpoints of parallel chords in a conic
e} =0) ellipse ( e {\displaystyle e} <1) parabola ( e {\displaystyle e} =1) hyperbola ( e {\displaystyle e} >1) intersecting lines ( e {\displaystyle
Midpoint_theorem_(conics)
2021. Barbosa, Rui C. (1 February 2021). "Chinese Hyperbola-1 rocket fails during its second launch". NASASpaceFlight. Retrieved 1 February 2021. "双曲线一号
List of spaceflight launches in January–June 2021
List_of_spaceflight_launches_in_January–June_2021
Curve on the sphere analogous to an ellipse or hyperbola
It is the spherical analog of a conic section (ellipse, parabola, or hyperbola) in the plane, and as in the planar case, a spherical conic can be defined
Spherical_conic
Conic section that passes through the vertices of a triangle or is tangent to its sides
or 2 points according as the circumconic is an ellipse, parabola, or hyperbola. In barycentric coordinates, the general inconic is tangent to the three
Circumconic_and_inconic
Linear map that preserves areas
concept of logarithms. The problem of finding the area bounded by a hyperbola (such as xy = 1) is one of quadrature. The solution, found by Grégoire de Saint-Vincent
Squeeze_mapping
Divergent sum of positive unit fractions
1 ∞ 1 i = 1 1 + 1 2 + 1 3 + 1 4 + 1 5 + ⋯ . {\displaystyle \sum _{i=1}^{\infty }{\frac {1}{i}}={\frac {1}{1}}+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac
Harmonic_series_(mathematics)
S-shaped curve
transformation ( 1 1 0 1 ) {\displaystyle {\bigl (}{\begin{smallmatrix}1&1\\0&1\end{smallmatrix}}{\bigr )}} , while the parametrization of the unit hyperbola (for
Logistic_function
York: Alfred A. Knopf, 1962), p 50, 90, 279. Ostrovsky, Max (2007). The Hyperbola of the World Order. (Lanham: University Press of America), p 50, 129-140
Causes_of_World_War_I
Representation of a curve by a function of a parameter
constants describing the number of lobes of the figure. An east-west opening hyperbola can be represented parametrically by x = a sec t + h y = b tan t +
Parametric_equation
Principle in geometry and linear algebra
or hyperboloid, generalizing the major and minor axes of an ellipse or hyperbola. The principal axis theorem states that the principal axes are perpendicular
Principal_axis_theorem
travel, tourism, insurance
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