{"id":"vidhyamitra:city-day:mathura:-3173-08-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3173-08-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-08-02","date_display":"August 2, 3174 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3173,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562332.770833,"kali_year":-71,"ahargana":-26132.7292,"sun":{"sidereal_longitude":161.1551,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":180.536,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.3809,"elapsed_within_tithi_degrees":7.3809},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.536,"elapsed_within_degrees":7.2027},"yoga":{"number":26,"name":"Indra","sum_longitude":341.6911},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3173,"month":8,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562332.770833,"ahargana":-26132.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4023,"grahas":{"sun":{"sidereal_longitude":161.1551,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":180.536,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":3.725},"mars":{"sidereal_longitude":12.1181,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":173.2724,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":351.2722,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":197.6712,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":207.2839,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":124.6378,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":304.6378,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3173,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562332.770833,"kali_year":-71,"ahargana":-26132.7292,"sun":{"sidereal_longitude":161.1551,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":180.536,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.3809,"elapsed_within_tithi_degrees":7.3809},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.536,"elapsed_within_degrees":7.2027},"yoga":{"number":26,"name":"Indra","sum_longitude":341.6911},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.725,"elongation":19.381},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.725,"opposition_distance":160.619}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:34","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.716380649841541,"dayLengthDisplay":"13 Hours 42 Mins 59 Secs","nightLengthDisplay":"10 Hours 17 Mins 01 Secs","moonriseLocal":"07:03","moonsetLocal":"20:23","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.420978868668954,"endHours":14.135526449899146,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:17","end":"09:00","startHours":7.277336124978374,"endHours":8.991883706208567,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.706431287438761,"endHours":12.420978868668954,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.76327736204454,"endHours":9.220490050372593,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.134304404158247,"endHours":6.500074554820688,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.963766180340901,"endHours":12.878191556997002,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7339377904359763,"endHours":4.648363167092079,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:34","startHours":4.419756822928053,"endHours":5.562788543748182,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70704231030921,"endHours":15.621467686965314,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.079169193589724,"endHours":19.479169193589723,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.279169193589723,"endHours":19.850685053999786,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.029169193589723,"endHours":20.779169193589723,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.9637661803409,"endHours":24.878191556997006,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:34","end":"07:17","startHours":5.562788543748182,"endHours":7.277336124978374,"quality":"auspicious"},{"name":"Amṛta","start":"07:17","end":"09:00","startHours":7.277336124978374,"endHours":8.991883706208567,"quality":"auspicious"},{"name":"Kāla","start":"09:00","end":"10:42","startHours":8.991883706208567,"endHours":10.706431287438761,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.706431287438761,"endHours":12.420978868668954,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.420978868668954,"endHours":14.135526449899146,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.135526449899146,"endHours":15.850074031129338,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.850074031129338,"endHours":17.56462161235953,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:17","startHours":17.56462161235953,"endHours":19.279169193589723,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:34","startHours":19.279169193589723,"endHours":20.56462161235953,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.56462161235953,"endHours":21.85007403112934,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.85007403112934,"endHours":23.135526449899146,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.135526449899146,"endHours":24.420978868668954,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.420978868668954,"endHours":25.70643128743876,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"03:00","startHours":25.70643128743876,"endHours":26.99188370620857,"quality":"auspicious"},{"name":"Roga","start":"03:00","end":"04:17","startHours":26.99188370620857,"endHours":28.277336124978376,"quality":"inauspicious"},{"name":"Udveg","start":"04:17","end":"05:34","startHours":28.277336124978376,"endHours":29.562788543748184,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.562788543748182,"endHours":6.562788543748182,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.562788543748182,"endHours":7.562788543748182,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.562788543748182,"endHours":8.562788543748182,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.562788543748182,"endHours":9.562788543748182,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.562788543748182,"endHours":10.562788543748182,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.562788543748182,"endHours":11.562788543748182,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.562788543748182,"endHours":12.562788543748182,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.562788543748182,"endHours":13.562788543748182,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.562788543748182,"endHours":14.562788543748182,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.562788543748182,"endHours":15.562788543748182,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.562788543748182,"endHours":16.562788543748184,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.562788543748184,"endHours":17.562788543748184,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.562788543748184,"endHours":18.562788543748184,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.562788543748184,"endHours":19.562788543748184,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.562788543748184,"endHours":20.562788543748184,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.562788543748184,"endHours":21.562788543748184,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.562788543748184,"endHours":22.562788543748184,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.562788543748184,"endHours":23.562788543748184,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.562788543748184,"endHours":24.562788543748184,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.562788543748184,"endHours":25.562788543748184,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.562788543748184,"endHours":26.562788543748184,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.562788543748184,"endHours":27.562788543748184,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.562788543748184,"endHours":28.562788543748184,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.562788543748184,"endHours":29.562788543748184,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.517275558435514,"eotMinutes":-5.953532120137101,"ayanamsa":-48.4023}},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvitīyā · Vikram -3116 undefined · Śaka -3251 Prabhava"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 2, 3174 BCE · Mathurā · Vidhyamitra","description":"August 2, 3174 BCE for Mathurā: Śukla Dvitīyā, sūryodaya 05:34, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3173-08-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3173-08-02","sa":"https://sa.vidhyamitra.com/city/mathura/-3173-08-02","hi":"https://hi.vidhyamitra.com/city/mathura/-3173-08-02","x-default":"https://vidhyamitra.com/city/mathura/-3173-08-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:15:54.125Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-10T13:15:54.125Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:15:54.125Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}