{"id":"vidhyamitra:city-day:mathura:-3207-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3207-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3207-10-21","date_display":"October 21, 3208 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":-3207,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549994.770833,"kali_year":-105,"ahargana":-38470.7292,"sun":{"sidereal_longitude":242.5561,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":338.4102,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.8541,"elapsed_within_tithi_degrees":11.8541},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.4102,"elapsed_within_degrees":5.0768},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.9662},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3207,"month":10,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549994.770833,"ahargana":-38470.7292,"kali_year":-105,"ayanamsa_lahiri":-48.8742,"grahas":{"sun":{"sidereal_longitude":242.5561,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":338.4102,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.4309},"mars":{"sidereal_longitude":326.9509,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":242.2697,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":44.4629,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":260.2308,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":168.7614,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":58.3644,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":238.3644,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-3207,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549994.770833,"kali_year":-105,"ahargana":-38470.7292,"sun":{"sidereal_longitude":242.5561,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":338.4102,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.8541,"elapsed_within_tithi_degrees":11.8541},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.4102,"elapsed_within_degrees":5.0768},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.9662},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.431,"elongation":95.854},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.431,"opposition_distance":84.146}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":0.058,"elongation":2.627}]},"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":"06:11","sunsetLocal":"17:56","solarNoonLocal":"12:03","dayLengthHours":11.750043997682326,"dayLengthDisplay":"11 Hours 45 Mins 00 Secs","nightLengthDisplay":"12 Hours 15 Mins 00 Secs","moonriseLocal":"13:13","moonsetLocal":"23:41","rahuKala":{"name":"Rāhu Kāla","start":"09:07","end":"10:35","startHours":9.120418657801007,"endHours":10.589174157511298,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:32","end":"15:00","startHours":13.52668515693188,"endHours":14.99544065664217,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:11","end":"07:39","startHours":6.182907658380427,"endHours":7.6516631580907175,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:19","startHours":8.92458459117297,"endHours":9.316252724429047,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:40","end":"06:59","startHours":6.672492824950524,"endHours":6.985827331555386,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:27","startHours":11.666261523965511,"endHours":12.449597790477666,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:24","startHours":4.616235125356116,"endHours":5.399571391868272,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:11","startHours":5.203737325240233,"endHours":6.182907658380427,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:48","startHours":14.016270323501978,"endHours":14.799606590014132,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.732951656062752,"endHours":18.13295165606275,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:25","startHours":17.93295165606275,"endHours":18.42253682263285,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.68295165606275,"endHours":19.43295165606275,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:27","startHours":23.66626152396551,"endHours":24.449597790477668,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:11","end":"07:39","startHours":6.182907658380427,"endHours":7.6516631580907175,"quality":"inauspicious"},{"name":"Śubha","start":"07:39","end":"09:07","startHours":7.6516631580907175,"endHours":9.120418657801007,"quality":"auspicious"},{"name":"Roga","start":"09:07","end":"10:35","startHours":9.120418657801007,"endHours":10.589174157511298,"quality":"inauspicious"},{"name":"Udveg","start":"10:35","end":"12:03","startHours":10.589174157511298,"endHours":12.057929657221589,"quality":"inauspicious"},{"name":"Chala","start":"12:03","end":"13:32","startHours":12.057929657221589,"endHours":13.52668515693188,"quality":"neutral"},{"name":"Labha","start":"13:32","end":"15:00","startHours":13.52668515693188,"endHours":14.99544065664217,"quality":"auspicious"},{"name":"Amṛta","start":"15:00","end":"16:28","startHours":14.99544065664217,"endHours":16.46419615635246,"quality":"auspicious"},{"name":"Kāla","start":"16:28","end":"17:56","startHours":16.46419615635246,"endHours":17.93295165606275,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:56","end":"19:28","startHours":17.93295165606275,"endHours":19.46419615635246,"quality":"auspicious"},{"name":"Amṛta","start":"19:28","end":"21:00","startHours":19.46419615635246,"endHours":20.99544065664217,"quality":"auspicious"},{"name":"Kāla","start":"21:00","end":"22:32","startHours":20.99544065664217,"endHours":22.52668515693188,"quality":"inauspicious"},{"name":"Śubha","start":"22:32","end":"00:03","startHours":22.52668515693188,"endHours":24.05792965722159,"quality":"auspicious"},{"name":"Roga","start":"00:03","end":"01:35","startHours":24.05792965722159,"endHours":25.589174157511298,"quality":"inauspicious"},{"name":"Udveg","start":"01:35","end":"03:07","startHours":25.589174157511298,"endHours":27.120418657801007,"quality":"inauspicious"},{"name":"Chala","start":"03:07","end":"04:39","startHours":27.120418657801007,"endHours":28.651663158090717,"quality":"neutral"},{"name":"Labha","start":"04:39","end":"06:11","startHours":28.651663158090717,"endHours":30.182907658380426,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.182907658380427,"endHours":7.182907658380427,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.182907658380427,"endHours":8.182907658380426,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.182907658380426,"endHours":9.182907658380426,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.182907658380426,"endHours":10.182907658380426,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.182907658380426,"endHours":11.182907658380426,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.182907658380426,"endHours":12.182907658380426,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.182907658380426,"endHours":13.182907658380426,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.182907658380426,"endHours":14.182907658380426,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.182907658380426,"endHours":15.182907658380426,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.182907658380426,"endHours":16.182907658380426,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.182907658380426,"endHours":17.182907658380426,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.182907658380426,"endHours":18.182907658380426,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.182907658380426,"endHours":19.182907658380426,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.182907658380426,"endHours":20.182907658380426,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.182907658380426,"endHours":21.182907658380426,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.182907658380426,"endHours":22.182907658380426,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.182907658380426,"endHours":23.182907658380426,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.182907658380426,"endHours":24.182907658380426,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.182907658380426,"endHours":25.182907658380426,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.182907658380426,"endHours":26.182907658380426,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.182907658380426,"endHours":27.182907658380426,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.182907658380426,"endHours":28.182907658380426,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.182907658380426,"endHours":29.182907658380426,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.182907658380426,"endHours":30.182907658380426,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-5.3981485768678255,"eotMinutes":15.829420566704727,"ayanamsa":-48.8742}},"calendars":{"vikram_samvat":-3150,"saka_samvat":-3285,"bengali_samvat":-3800,"malayalam_era":-4031,"nanakshahi_year":-4676,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram -3150 undefined · Śaka -3285 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 21, 3208 BCE · Mathurā · Vidhyamitra","description":"October 21, 3208 BCE for Mathurā: Śukla Aṣṭamī, sūryodaya 06:11, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3207-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3207-10-21","sa":"https://sa.vidhyamitra.com/city/mathura/-3207-10-21","hi":"https://hi.vidhyamitra.com/city/mathura/-3207-10-21","x-default":"https://vidhyamitra.com/city/mathura/-3207-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T00:17:00.346Z","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":"2026-08-11T00:17:00.346Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T00:17:00.346Z","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"}}}