{"id":"vidhyamitra:city-day:mathura:-3171-08-27:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3171-08-27","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-08-27","date_display":"August 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":8,"day":27,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563088.770833,"kali_year":-69,"ahargana":-25376.7292,"sun":{"sidereal_longitude":186.3928,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":72.3651,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.9723,"elapsed_within_tithi_degrees":5.9723},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.3651,"elapsed_within_degrees":5.6985},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.758},"karana":{"half_tithi_index":40,"name":"Gara"},"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":-3171,"month":8,"day":27,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563088.770833,"ahargana":-25376.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3734,"grahas":{"sun":{"sidereal_longitude":186.3928,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":72.3651,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-0.9513},"mars":{"sidereal_longitude":68.1294,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":190.7357,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":65.9686,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":153.4317,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":229.0645,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":84.5812,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":264.5812,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":8,"day":27,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563088.770833,"kali_year":-69,"ahargana":-25376.7292,"sun":{"sidereal_longitude":186.3928,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":72.3651,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.9723,"elapsed_within_tithi_degrees":5.9723},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.3651,"elapsed_within_degrees":5.6985},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.758},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.951,"elongation":114.028},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.951,"opposition_distance":65.972}},"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":"05:43","sunsetLocal":"18:57","solarNoonLocal":"12:20","dayLengthHours":13.232394106123225,"dayLengthDisplay":"13 Hours 13 Mins 57 Secs","nightLengthDisplay":"10 Hours 46 Mins 03 Secs","moonriseLocal":"22:22","moonsetLocal":"11:07","rahuKala":{"name":"Rāhu Kāla","start":"12:20","end":"14:00","startHours":12.340361108604483,"endHours":13.994410371869886,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:23","end":"09:02","startHours":7.378213318808273,"endHours":9.032262582073676,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:41","end":"12:20","startHours":10.68631184533908,"endHours":12.340361108604483,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.811722680304957,"endHours":9.252802483842396,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.2755138099646715,"endHours":6.628377652794624,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:47","startHours":11.89928130506704,"endHours":12.781440912141923,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:51","startHours":3.9598448413931067,"endHours":4.842004448467988,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:43","startHours":4.621464546699268,"endHours":5.72416405554287,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:26","startHours":14.545760126291688,"endHours":15.42791973336657,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.756558161666096,"endHours":19.156558161666094,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:30","startHours":18.956558161666095,"endHours":19.507907916087895,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.706558161666095,"endHours":20.456558161666095,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:47","startHours":23.899281305067042,"endHours":24.781440912141925,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:43","end":"07:23","startHours":5.72416405554287,"endHours":7.378213318808273,"quality":"auspicious"},{"name":"Amṛta","start":"07:23","end":"09:02","startHours":7.378213318808273,"endHours":9.032262582073676,"quality":"auspicious"},{"name":"Kāla","start":"09:02","end":"10:41","startHours":9.032262582073676,"endHours":10.68631184533908,"quality":"inauspicious"},{"name":"Śubha","start":"10:41","end":"12:20","startHours":10.68631184533908,"endHours":12.340361108604483,"quality":"auspicious"},{"name":"Roga","start":"12:20","end":"14:00","startHours":12.340361108604483,"endHours":13.994410371869886,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:39","startHours":13.994410371869886,"endHours":15.64845963513529,"quality":"inauspicious"},{"name":"Chala","start":"15:39","end":"17:18","startHours":15.64845963513529,"endHours":17.302508898400692,"quality":"neutral"},{"name":"Labha","start":"17:18","end":"18:57","startHours":17.302508898400692,"endHours":18.956558161666095,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:57","end":"20:18","startHours":18.956558161666095,"endHours":20.302508898400692,"quality":"inauspicious"},{"name":"Chala","start":"20:18","end":"21:39","startHours":20.302508898400692,"endHours":21.64845963513529,"quality":"neutral"},{"name":"Labha","start":"21:39","end":"23:00","startHours":21.64845963513529,"endHours":22.994410371869886,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:20","startHours":22.994410371869886,"endHours":24.340361108604483,"quality":"auspicious"},{"name":"Kāla","start":"00:20","end":"01:41","startHours":24.340361108604483,"endHours":25.68631184533908,"quality":"inauspicious"},{"name":"Śubha","start":"01:41","end":"03:02","startHours":25.68631184533908,"endHours":27.032262582073677,"quality":"auspicious"},{"name":"Roga","start":"03:02","end":"04:23","startHours":27.032262582073677,"endHours":28.37821331880827,"quality":"inauspicious"},{"name":"Udveg","start":"04:23","end":"05:43","startHours":28.37821331880827,"endHours":29.72416405554287,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.72416405554287,"endHours":6.72416405554287,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.72416405554287,"endHours":7.72416405554287,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.72416405554287,"endHours":8.72416405554287,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.72416405554287,"endHours":9.72416405554287,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.72416405554287,"endHours":10.72416405554287,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.72416405554287,"endHours":11.72416405554287,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.72416405554287,"endHours":12.72416405554287,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.72416405554287,"endHours":13.72416405554287,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.72416405554287,"endHours":14.72416405554287,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.72416405554287,"endHours":15.72416405554287,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.72416405554287,"endHours":16.72416405554287,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.72416405554287,"endHours":17.72416405554287,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.72416405554287,"endHours":18.72416405554287,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.72416405554287,"endHours":19.72416405554287,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.72416405554287,"endHours":20.72416405554287,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.72416405554287,"endHours":21.72416405554287,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.72416405554287,"endHours":22.72416405554287,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.72416405554287,"endHours":23.72416405554287,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.72416405554287,"endHours":24.72416405554287,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.72416405554287,"endHours":25.72416405554287,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.72416405554287,"endHours":26.72416405554287,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.72416405554287,"endHours":27.72416405554287,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.72416405554287,"endHours":28.72416405554287,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.72416405554287,"endHours":29.72416405554287,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.428453916735643,"eotMinutes":-1.116466516268853,"ayanamsa":-48.3734}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram -3114 undefined · Śaka -3249 undefined"},"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 27, 3172 BCE · Mathurā · Vidhyamitra","description":"August 27, 3172 BCE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:43, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3171-08-27","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3171-08-27","sa":"https://sa.vidhyamitra.com/city/mathura/-3171-08-27","hi":"https://hi.vidhyamitra.com/city/mathura/-3171-08-27","x-default":"https://vidhyamitra.com/city/mathura/-3171-08-27"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T13:02:26.923Z","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":"2026-09-08T13:02:26.923Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T13:02:26.923Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}