BIBHORR FORMULA 1.0

BIBHORR FORMULA 1.O VYOM.14|55-01 Bibhorr Sutr १.0 or Bibhorr Formula 1.0 is the world’s first AI-augmenting aerospace equation, representing the groundbreaking scientific achievement and the fundamental inception of sturdy algorithmic advancements, that establishes the next-generation of aero-mathematical principles by providing solutions to ultra-complex calculations related to aerospace triangulation and interplanetary computations. The formula is used for determining the relationship between angular and linear dimensions in aerospace triangulated networks useful in multidisciplinary engineering applications. Utilizing the supremely advanced mathematical formulations, invented by Bibhorr and state-of-the-art BibhorrAI technology enablement, this magnificent formula is capable of accurately determining the relationship between angular dimensions and linear magnitudes in aerospace engineering, also impactfully useful in space traffic management. This profound equation signifies a monumental leap in scientific progression, paving the way for unprecedented aerospace enhancements that underpin the evolution of futuristic interplanetary frameworks and principles, thereby shaping the landscape of cutting-edge technological innovations for generations to come. This cutting-edge vanguard equation seamlessly integrates artificial intelligence into the realm of aero-mathematics, catering to the intricate requirements of ultra-complex calculations essential for aerospace computations. By establishing correlations between the interspatial angle and line of interspace, the Bibhorr formula streamlines the computation process and eliminates the need for more cumbersome trigonometric functions. Unlike other triangulation methods, Bibhorr formula is entirely original and does not rely upon any previously established archaic theorem, formula, or outdated mathematical concept. Bibhorr formula stands out as the most revolutionary ultra-futuristic algorithm specifically developed for AI-augmenting calculations. Furthermore, the grand formula’s solid foundation in aero-mathematical domain and computational frameworks renders it incredibly efficient, effective, and precise in its outcomes. This algorithmic formula has proven to be a game-changer in the world of aerospace, mathematics and artificial intelligence, making it easier for researchers and scientists to create inventive and groundbreaking applications. Its versatility and adaptability have been highly praised by experts and users alike, making it one of the most sought-after algorithms in the industry. SCIENTIFIC DEMONSTRATION The Bibhorr Formula has undergone rigorous scientific testing and validation in accordance with the strict procedures and stringent lab protocols benefiting national interests. Below is an overview of the thorough scientific demonstration process implemented by Bibhorr Aerospace Labs. MAINSTREAM SCIENTIFIC VALIDATION & DEMONSTRATION PROCESS EQUIPMENTS & SCIENTIFIC OBSERVATIONS LAB PROTOCOLS & PROCEDURES EQUIPMENT/ APPARATUS DEPLOYMENT BIBHORR AI RESERVED FOR IN-HOUSE APPLICATIONS ONLY LAB OBSERVATIONS & ANALYSES SUCCESSFUL VALIDATION – INDUSTRY NICHE IDENTIFICATION AEROSPACE & DEFENSE – DISCLOSURE STATUS REGISTRATION REGISTERED AS CONTROLLED CONTROLLED – TO AVERT SCIENTIFIC DATA BREACH BY ADVERSARIES AND HOSTILE STATES DERIVATION & PROOF RECORD DOCUMENTED AS CLASSIFIED NATIONALLY RESERVED & CLASSIFIED – TO AVERT SCIENTIFIC DATA BREACH BY ADVERSARIES AND HOSTILE STATES MAINSTREAM RESEARCH PUBLICATION THE BIBHORR AEROSPACE JOURNAL THE JOURNAL IS SAFEGUARDED FROM ADVERSARIAL THREATS & POTENTIAL ESPIONAGE SAFETY STATUS REGISTRATION REGISTERED AS UNIVERSALLY PROTECTED UNIVERSALLY PROTECTED – FOR NATIONAL DEFENSE EDGE MAINSTREAM PUBLIC REVIEW SUCCESSFUL – 10+ YEARS OF APPRECIATION – INDUSTRY REVIEW SUCCESSFUL – APPLICATIONS DEPLOYED – ACADEMIA REVIEW SUCCESSFUL – CONTROLLED INFORMATION PUBLISHED IN CIRND FEDERATION, CRC PRESS & DEGRUYTER – PARENTS – ETHICAL REVIEW SUCCESSFUL – MOST ETHICAL AEROSPACE EQUATION – PEER /FRIENDS/ PROFESSIONAL REVIEW SUCCESSFUL – KIDS REVIEW SUCCESSFUL – EASY COMPREHENSION – CRITICAL REVIEW SUCCESSFUL – NO CRITICAL REVIEW IN MAINSTREAM JOURNALS FOUND – REPRODUCIBLE YES – DEPENDING UPON SCIENTIFIC COMPETENCE – INFORMATION IN PUBLIC DOMAIN CONTROLLED FOR NATIONAL DEFENSE EDGE RESERVED STATUS REGISTRATION AEROSPACE & DEFENSE – RESULTS RESERVED YES FOR NATIONAL DEFENSE EDGE LICENSED FOR COMMERCIAL USE NO ONLY RESERVED WITH BIBHORR AEROSPACE LABS AERO-MATHEMATICAL DEFINITION The formula is an equation given in terms of Bibhorr kon बि composed of lamb लं, laghu ल (or छ ) and the shrav श्र in the aerospace triangulated lattices. The formula belongs to the Samahikaran class of algorithmic equations. For a given samkon triangulated lattice with shrav श्र , lamb लं and laghu छ, the Bibhorr angle बि is righteously given in Sanskrit/Hindi alphabets as: The equation is composed of two constants. The constant angle 90º is “Bibhorr sthiron” represented as सि; constant बँ equals 1.5 is the “Bibhorr sthirank”. Here the symbol º above 90 is known to be ansh from Baudhayan’s era and is utilized in this algorithm with the same name. The Bibhorr kon is measured in kuj or ansh; the units are dependent on the Bibhorr sthiron units incorporated into the equation. The Bibhorrmiti Notations are described as: Shrav: The longest bhuja; denoted by श्र. Lamb: The middle bhuja; represented as लं. Laghu: The shortest bhuja; notated as छ or ल. Bibhorr kon: The angle opposite lamb; represented as बि. Ubhorr kon: The angle opposite laghu denoted by ऊ. INDUSTRY APPLICATIONS In the field of Astrodynamics, the Bibhorr formula assumes a paramount role as an indispensable tool used for various calculations and studies. This formula serves as a crucial determinant of the exact distances separating celestial entities and interstellar objects, thereby granting deeper insights into the intricate behaviors and gravitational influences of these cosmic elements. Moreover, in the expansive realm of Aerodynamics, the utility of the Bibhorr formula extends across a diverse array of practical scenarios. From elucidating optimal angles of ascent and descent to pinpointing precise angles of attack, this formula proves indispensable in unraveling the intricate dynamics governing the flight and maneuvering characteristics of various aircraft and spacecraft. The utility of the Bibhorr formula extends far beyond its initial application. This multifaceted equation not only plays a crucial role in diverse fields such as Computing, where it can proficiently cipher codes and augment Artificial Intelligence systems, but also finds substantial usage in the specialized domain of aerospace engineering. Here, engineers leverage its computational prowess to determine the optimal dimensions of vertical fins and primary wings, and delve into cutting-edge research related to robotic arm technology and AI-driven robotic movement studies. Furthermore, the versatility of the Bibhorr formula shines through in its capability to analyze the intricate oscillations of particles, making it an indispensable instrument across a wide spectrum of scientific disciplines. UNMATCHED GLOBAL SUPERIORITY The Bibhorr formula stands out as a highly advanced and powerful aerospace

TRIANGULATION AUGMENTED ALGORITHM

TRIANGULATION AUGMENTED ALGO. VYOM.14|55-04 Bibhorr deemed research on this issue to be very important because there hasn’t been any serious fundamental and technical work done to use AI in flight dynamics performance upgradation. Fuzzy logics have several drawbacks, such as forecasts that aren’t always correct, ambiguity in some circumstances, sluggish run time, etc. This led Bibhorr to create and launch this algorithm by inventing new models and methods. The invented algorithm is based on Baudhayan’s AI-augmented triangulation logic, where the concept permits numerous logical values of a variable spanning between 0 and 2π. Bibhorr (2019) provided a formula for triangulation determination, known as Bibhorr formula, that was used to determine the final conclusion for an AI algorithm’s learning scenario. The triangulation modelling, on which the behavior learning algorithm is based, uses angular magnitude as an indicator of learning effort. Based on the angular variation, the behavior learning algorithm makes necessary adjustments. In order to calculate the variation in the data in angular form, the algorithm first receives the data array for time interval t1 and then receives data for time interval t2. For two distinct time intervals, t1 and t2, the algorithm computes the angular variation b as a function of variation between the data lines.

TIME-MATRICIZED TRIANGULATION ALGORITHM

TIME-MATRICIZED TRIANG. ALGORITHM VYOM.14|55-06 ➸Used in conjunction with Triangulation Mapping ➸To be employed when the spacecraft is positioned inside a 3-D circumjacent polygon ➸Data should specifically flow from the nodes located on the perimeter of the polygon ➸Data is received by the spacecraft located in the circumjacent polygon ➸Identification of nodal data from the spacecraft located in the circumjacent polygon ➸Matching the data with the present conditions ➸Trajectory correction; Speed correction; Other system manipulations ➸Analyzing how the polygon pattern shifts with respect to time for flight safety

SUPPLEMENTED THRUST REVERSAL (REVERSER) TECHNOLOGY

SUPPLEMENTED THRUST REVERSAL VYOM.14|55-03 Invented by Bibhorr, Supplemented Thrust Reverser (STR) or Supplemental Thrust Reversal is a technology constructed primarily as an integrated contraption mechanism that works to change the vehicle’s flight path prior to initiating the flight termination system (FTS). It makes use of a controlled reverse thrust mechanism that has been modelled for integration with an independent FTS with its own communication link. The radial ring is a consequential structure in the geometrical design of the Supplemented Thrust Reverser. Many industry specialists have already learnt the technology from Bibhorr and have started to implement it in their own areas of expertise. If you see the words like “Supplemental Thrust Reverser” or “Supplemented Thrust Reversal (STR)” anywhere on the web, please let us know because they are the learners who are also implementing Bibhorr’s technology in their products and we want to congratulate them. Supplemented Thrust Reverser is an Angulish/English translation for the originally developed Vipreet Rsht Sanlagnak (विपरीत ऋष्ट संलग्नक). Vipreet Rsht Sanlagnk was constructed primarily as an integrated tantr (तंत्र) that works to change the vehicle’s udaanpath (उड़ानपथ) prior to initiating the samaapan tantr (समापन तंत्र). It makes use of a controlled Vipreet Rsht mechanism that has been modelled for integration with an independent FTS with its own sanchaar dattaansh kadee (दत्तांश कड़ी). The trijyayee valay (त्रिज्यीय वलय) is a consequential structure in the geometrical design of the Vipreet Rsht Sanlagnk. This trijyayee valay design promotes the VyomYaan body’s standard vayugatikeey prabhav (वायुगतिकीय प्रभाव) and hence meets the better performance result condition. Vipreet Rsht Sanlagnak device functions as a bahu-akshayee motion controller for trajectory monitoring and regulation, as it controls roll, yaw, and pitch rsht sadish maatraayein independently of the main propulsion unit’s operation, and thus provides a higher performance in an advanced space traffic scenario as a constituent model within the spacecraft’s FTS. Even in the transposing space traffic environment, the model has been found as having the ability to control perturbed trajectories for the proper execution of flight termination system. The model is shown to improve the performance of spacecraft by integrating Vipreet Rsht Sanlagnk with the flight termination system. Rsht Sadishta (ऋष्ट सदिशता) accomplished via the use of Vipreet Rsht Sanlagnk or Supplemented Thrust Reversers accounts for the following advantages: ➸To rectify deviations from the intended trajectory along the flight route without using the main propulsion unit, hence maintaining the vehicle’s veyg (वेग) in order to avoid an oncoming space traffic collision. ➸To modify the trajectory of the vehicle in the event of total failure of the vehicle, including the primary propulsion unit. ➸To adjust the rolling and yawing moments of the vehicle in order to minimize traffic crashes and the detonation effect on adjacent vehicles. ➸To reduce the vehicle’s speed independently of the primary propulsion unit in order to avoid an accident.

IoT-BASED SPACECRAFT ANTI-COLLISION TECHNOLOGY

SPACECRAFT ANTI-COLLISSION TECH. VYOM.14|55-02 IoT-integrated Spacecraft Anti-collision technology, invented and first successfully deployed by Bibhorr, constitutes five design sub-systems viz., Traffic Identification system (TIS), Density Evaluation Model (DEM), Trajectory Planning Model (TPM), Risk Assessment Model (RAM) and finally Heads-up Display (HUD) system. The Traffic Identification Design uses a video imaging process based on an IoT-integrated video camera docked with a mathematical computing system. For the system to further handle the computational processes, raw image data feed as a first source impression is sent by the video camera. The working of the system involves recording image frames and sending them to the computer unit. The extraction technique includes an intensity reduction feature and the whole concept is used to divide a big collection of raw data and break it down into smaller, more tractable data sets for further subsequent processing. These huge data sets include a great number of variables, requiring a significant amount of processing resources to compute. In the HUD screen, the dynamic density dT is visualized to the pilot, in form of a continuously varying graphical plot whose Y-axis denotes density variations and X-axis denotes the time. The three-dimensionally dilated spatial frame consisting of n traffic elements is rendered in the density evaluation model. The frame, that encapsulates the elements, consists of magnitude a as three of its dimensions. Since the density is dynamic in nature as it changes over time ‘t’, it is a function of time, the magnitude of the three-dimensional spatial cube and number of traffic elements. This dynamic traffic density dT is mathematically incepted as:  dT = 𝑓(𝑡, 𝑎, 𝑛) In the risk assessment system model, the maximum collision probability risk P(C) is given as: P(C) = 𝑛ₐ/𝑛ₜ; where 𝑛ₐ implies the number of traffic elements tested for collision and 𝑛ₜ indicates the total number of traffic elements present in the rendered frame. For evaluating the safe trajectory planning, FFT vertices are identified, two along dt and two along Dt. A computer-processed quadrilateral simulation is then established by extending interspatial lines through vertices and aligning the rest dimensions. Post the establishment of the empty zone ze, safe zone zs is computed using the below formula: zs = 𝑓(ze); where 𝑓(ze)= k√𝑧𝑒. Here k denotes the diminishing factor. The transparent display feature mechanism which is visually layered within the windscreen of the spacecraft is well-highlighted by the HUD system. And its function is to display critical information and data directly in the vision feed of pilot without distracting the pilot from the usual vision angle onto the screen.

POLYGON SHIFT ANALYSIS

POLYGON SHIFT ANALYSIS VYOM.14|55-05 Polygon Shift Analysis is an AI-augmented algorithmic analysis invented by Bibhorr to be employed in aerospace applications. The border of polygonal structures is crucial for developing a useful polygonal model in which the vertices of the network represent the spacecrafts and the interactions of one such vertex with regard to its surrounding vertices, which constitute a polygonal circuit, are correctly examined. In order to manage traffic effectively and provide the necessary dynamic data input points that can be analyzed concurrently to give adequate output signals to the spacecraft systems and controllers in order to accurately predict and forecast a collision, simultaneous structural changes in the polygonal model caused by traffic movement play a key role. The spacecraft under observation is continuously checked for a safe trajectory and flight route. Through time-matricized communication between the vehicle that requests data sharing and the vehicle that provides the desired data, the surrounding traffic is controlled. The polygon pattern where the space vehicle is placed is constantly monitored for nodal activity, which eventually signals the shifting patterns of the nearby vehicular movement. The shift in the overall polygon structure is determined by each component of the polygon. The net polygonal shift would typically result in a positive area status depicting the highly safe level of flight if more than 50% of the nodes are characterized with the increment in interspatial lines; however, if more than 50% of the nodes are characterized by the decrement in interspatial lines, that would frequently result in a negative area output showcasing the high level of risk involved in flightpath status. The spacecraft is closely watched and controlled for its velocity, acceleration or deceleration, and the direction of its flight path in order to resist the negative shift.