{"id":"vidhyamitra:city-day:mathura:-3171-10-27:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3171-10-27","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-10-27","date_display":"October 27, 3172 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":-3171,"month":10,"day":27,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563149.770833,"kali_year":-69,"ahargana":-25315.7292,"sun":{"sidereal_longitude":248.3956,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":151.4762,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.0807,"elapsed_within_tithi_degrees":11.0807},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.4762,"elapsed_within_degrees":4.8096},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.8718},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3171,"month":10,"day":27,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563149.770833,"ahargana":-25315.7292,"kali_year":-69,"ayanamsa_lahiri":-48.371,"grahas":{"sun":{"sidereal_longitude":248.3956,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":151.4762,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":4.2315},"mars":{"sidereal_longitude":60.8307,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":239.1153,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":59.7466,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":201.8759,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":235.8038,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":81.3492,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.3492,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"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":-3171,"month":10,"day":27,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563149.770833,"kali_year":-69,"ahargana":-25315.7292,"sun":{"sidereal_longitude":248.3956,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":151.4762,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.0807,"elapsed_within_tithi_degrees":11.0807},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.4762,"elapsed_within_degrees":4.8096},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.8718},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.232,"elongation":96.919},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.232,"opposition_distance":83.081}},"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":"06:16","sunsetLocal":"17:50","solarNoonLocal":"12:03","dayLengthHours":11.579632364696952,"dayLengthDisplay":"11 Hours 34 Mins 47 Secs","nightLengthDisplay":"12 Hours 25 Mins 13 Secs","moonriseLocal":"22:42","moonsetLocal":"12:29","rahuKala":{"name":"Rāhu Kāla","start":"07:42","end":"09:09","startHours":7.7067161355400575,"endHours":9.154170181127176,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:36","end":"12:03","startHours":10.601624226714296,"endHours":12.049078272301415,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:30","end":"14:57","startHours":13.496532317888533,"endHours":14.943986363475652,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.961176308382226,"endHours":9.347164053872126,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:03","startHours":6.741746771815311,"endHours":7.05053696820723,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.663090526811514,"endHours":12.435066017791312,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:29","startHours":4.715311107993345,"endHours":5.487286598973141,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.294292726228192,"endHours":6.259262089952938,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.979016999750906,"endHours":14.750992490730702,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.63889445464989,"endHours":18.03889445464989,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.83889445464989,"endHours":18.321379136512263,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.58889445464989,"endHours":19.33889445464989,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.663090526811516,"endHours":24.435066017791314,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:16","end":"07:42","startHours":6.259262089952938,"endHours":7.7067161355400575,"quality":"auspicious"},{"name":"Kāla","start":"07:42","end":"09:09","startHours":7.7067161355400575,"endHours":9.154170181127176,"quality":"inauspicious"},{"name":"Śubha","start":"09:09","end":"10:36","startHours":9.154170181127176,"endHours":10.601624226714296,"quality":"auspicious"},{"name":"Roga","start":"10:36","end":"12:03","startHours":10.601624226714296,"endHours":12.049078272301415,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"13:30","startHours":12.049078272301415,"endHours":13.496532317888533,"quality":"inauspicious"},{"name":"Chala","start":"13:30","end":"14:57","startHours":13.496532317888533,"endHours":14.943986363475652,"quality":"neutral"},{"name":"Labha","start":"14:57","end":"16:23","startHours":14.943986363475652,"endHours":16.39144040906277,"quality":"auspicious"},{"name":"Amṛta","start":"16:23","end":"17:50","startHours":16.39144040906277,"endHours":17.83889445464989,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:50","end":"19:23","startHours":17.83889445464989,"endHours":19.39144040906277,"quality":"neutral"},{"name":"Labha","start":"19:23","end":"20:57","startHours":19.39144040906277,"endHours":20.943986363475652,"quality":"auspicious"},{"name":"Amṛta","start":"20:57","end":"22:30","startHours":20.943986363475652,"endHours":22.49653231788853,"quality":"auspicious"},{"name":"Kāla","start":"22:30","end":"00:03","startHours":22.49653231788853,"endHours":24.049078272301415,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:36","startHours":24.049078272301415,"endHours":25.601624226714293,"quality":"auspicious"},{"name":"Roga","start":"01:36","end":"03:09","startHours":25.601624226714293,"endHours":27.154170181127174,"quality":"inauspicious"},{"name":"Udveg","start":"03:09","end":"04:42","startHours":27.154170181127174,"endHours":28.706716135540056,"quality":"inauspicious"},{"name":"Chala","start":"04:42","end":"06:16","startHours":28.706716135540056,"endHours":30.259262089952937,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.259262089952938,"endHours":7.259262089952938,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.259262089952938,"endHours":8.259262089952937,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.259262089952937,"endHours":9.259262089952937,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.259262089952937,"endHours":10.259262089952937,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.259262089952937,"endHours":11.259262089952937,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.259262089952937,"endHours":12.259262089952937,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.259262089952937,"endHours":13.259262089952937,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.259262089952937,"endHours":14.259262089952937,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.259262089952937,"endHours":15.259262089952937,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.259262089952937,"endHours":16.259262089952937,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.259262089952937,"endHours":17.259262089952937,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.259262089952937,"endHours":18.259262089952937,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.259262089952937,"endHours":19.259262089952937,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.259262089952937,"endHours":20.259262089952937,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.259262089952937,"endHours":21.259262089952937,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.259262089952937,"endHours":22.259262089952937,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.259262089952937,"endHours":23.259262089952937,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.259262089952937,"endHours":24.259262089952937,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.259262089952937,"endHours":25.259262089952937,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.259262089952937,"endHours":26.259262089952937,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.259262089952937,"endHours":27.259262089952937,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.259262089952937,"endHours":28.259262089952937,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.259262089952937,"endHours":29.259262089952937,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.259262089952937,"endHours":30.259262089952937,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","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":-7.8276091657109585,"eotMinutes":16.360503661915228,"ayanamsa":-48.371}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa 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 Kṛṣṇa Saptamī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 27, 3172 BCE · Mathurā · Vidhyamitra","description":"October 27, 3172 BCE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 06:16, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3171-10-27","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3171-10-27","sa":"https://sa.vidhyamitra.com/city/mathura/-3171-10-27","hi":"https://hi.vidhyamitra.com/city/mathura/-3171-10-27","x-default":"https://vidhyamitra.com/city/mathura/-3171-10-27"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T20:42:01.461Z","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":"2026-08-10T20:42:01.461Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T20:42:01.461Z","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"}}}