{"id":"vidhyamitra:city-day:mathura:-0468-05-27:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0468-05-27","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-05-27","date_display":"May 27, 469 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":-468,"month":5,"day":27,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550267.770833,"kali_year":2634,"ahargana":961802.2708,"sun":{"sidereal_longitude":74.9559,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":324.7917,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.8359,"elapsed_within_tithi_degrees":9.8359},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.7917,"elapsed_within_degrees":4.7917},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.7476},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-468,"month":5,"day":27,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550267.770833,"ahargana":961802.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6175,"grahas":{"sun":{"sidereal_longitude":74.9559,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":324.7917,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-1.1101},"mars":{"sidereal_longitude":32.8867,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":84.4983,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":10.6183,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":105.9002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":124.511,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":339.0872,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":159.0872,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":-468,"month":5,"day":27,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550267.770833,"kali_year":2634,"ahargana":961802.2708,"sun":{"sidereal_longitude":74.9559,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":324.7917,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.8359,"elapsed_within_tithi_degrees":9.8359},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.7917,"elapsed_within_degrees":4.7917},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.7476},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.11,"elongation":110.164},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.11,"opposition_distance":69.836}},"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":"05:26","sunsetLocal":"19:07","solarNoonLocal":"12:16","dayLengthHours":13.674217631412372,"dayLengthDisplay":"13 Hours 40 Mins 27 Secs","nightLengthDisplay":"10 Hours 19 Mins 33 Secs","moonriseLocal":"23:29","moonsetLocal":"10:23","rahuKala":{"name":"Rāhu Kāla","start":"17:24","end":"19:07","startHours":17.399448772913903,"endHours":19.10872597684045,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:59","startHours":12.271617161134266,"endHours":13.980894365060813,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:41","end":"17:24","startHours":15.690171568987356,"endHours":17.399448772913903,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.625159126090967,"endHours":9.080966380471379,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:00","end":"06:22","startHours":6.0042674134035945,"endHours":6.368913216907925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:44","startHours":11.815809906753852,"endHours":12.727424415514676,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:37","end":"04:31","startHours":3.6112793279064297,"endHours":4.522893836667254,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:18","end":"05:26","startHours":4.294990209477048,"endHours":5.434508345428079,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:28","startHours":14.550653433036327,"endHours":15.462267941797153,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.90872597684045,"endHours":19.30872597684045,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:41","startHours":19.10872597684045,"endHours":19.678485044815964,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.85872597684045,"endHours":20.60872597684045,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:44","startHours":23.815809906753852,"endHours":24.72742441551468,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:26","end":"07:09","startHours":5.434508345428079,"endHours":7.143785549354625,"quality":"inauspicious"},{"name":"Chala","start":"07:09","end":"08:51","startHours":7.143785549354625,"endHours":8.853062753281172,"quality":"neutral"},{"name":"Labha","start":"08:51","end":"10:34","startHours":8.853062753281172,"endHours":10.562339957207719,"quality":"auspicious"},{"name":"Amṛta","start":"10:34","end":"12:16","startHours":10.562339957207719,"endHours":12.271617161134266,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:59","startHours":12.271617161134266,"endHours":13.980894365060813,"quality":"inauspicious"},{"name":"Śubha","start":"13:59","end":"15:41","startHours":13.980894365060813,"endHours":15.690171568987356,"quality":"auspicious"},{"name":"Roga","start":"15:41","end":"17:24","startHours":15.690171568987356,"endHours":17.399448772913903,"quality":"inauspicious"},{"name":"Udveg","start":"17:24","end":"19:07","startHours":17.399448772913903,"endHours":19.10872597684045,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:07","end":"20:24","startHours":19.10872597684045,"endHours":20.399448772913903,"quality":"auspicious"},{"name":"Roga","start":"20:24","end":"21:41","startHours":20.399448772913903,"endHours":21.690171568987356,"quality":"inauspicious"},{"name":"Udveg","start":"21:41","end":"22:59","startHours":21.690171568987356,"endHours":22.98089436506081,"quality":"inauspicious"},{"name":"Chala","start":"22:59","end":"00:16","startHours":22.98089436506081,"endHours":24.271617161134266,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:34","startHours":24.271617161134266,"endHours":25.56233995720772,"quality":"auspicious"},{"name":"Amṛta","start":"01:34","end":"02:51","startHours":25.56233995720772,"endHours":26.853062753281172,"quality":"auspicious"},{"name":"Kāla","start":"02:51","end":"04:09","startHours":26.853062753281172,"endHours":28.143785549354625,"quality":"inauspicious"},{"name":"Śubha","start":"04:09","end":"05:26","startHours":28.143785549354625,"endHours":29.43450834542808,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:26","end":"06:26","startHours":5.434508345428079,"endHours":6.434508345428079,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:26","end":"07:26","startHours":6.434508345428079,"endHours":7.434508345428079,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:26","end":"08:26","startHours":7.434508345428079,"endHours":8.434508345428078,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:26","end":"09:26","startHours":8.434508345428078,"endHours":9.434508345428078,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:26","end":"10:26","startHours":9.434508345428078,"endHours":10.434508345428078,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:26","end":"11:26","startHours":10.434508345428078,"endHours":11.434508345428078,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:26","end":"12:26","startHours":11.434508345428078,"endHours":12.434508345428078,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:26","end":"13:26","startHours":12.434508345428078,"endHours":13.434508345428078,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:26","end":"14:26","startHours":13.434508345428078,"endHours":14.434508345428078,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:26","end":"15:26","startHours":14.434508345428078,"endHours":15.434508345428078,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:26","end":"16:26","startHours":15.434508345428078,"endHours":16.43450834542808,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:26","end":"17:26","startHours":16.43450834542808,"endHours":17.43450834542808,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:26","end":"18:26","startHours":17.43450834542808,"endHours":18.43450834542808,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:26","end":"19:26","startHours":18.43450834542808,"endHours":19.43450834542808,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:26","end":"20:26","startHours":19.43450834542808,"endHours":20.43450834542808,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:26","end":"21:26","startHours":20.43450834542808,"endHours":21.43450834542808,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:26","end":"22:26","startHours":21.43450834542808,"endHours":22.43450834542808,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:26","end":"23:26","startHours":22.43450834542808,"endHours":23.43450834542808,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:26","end":"00:26","startHours":23.43450834542808,"endHours":24.43450834542808,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:26","end":"01:26","startHours":24.43450834542808,"endHours":25.43450834542808,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:26","end":"02:26","startHours":25.43450834542808,"endHours":26.43450834542808,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:26","end":"03:26","startHours":26.43450834542808,"endHours":27.43450834542808,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:26","end":"04:26","startHours":27.43450834542808,"endHours":28.43450834542808,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:26","end":"05:26","startHours":28.43450834542808,"endHours":29.43450834542808,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.008294591438652,"eotMinutes":3.008170331944147,"ayanamsa":-10.6175}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ṣaṣṭhī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 May 27, 469 BCE · Mathurā · Vidhyamitra","description":"May 27, 469 BCE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:26, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0468-05-27","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0468-05-27","sa":"https://sa.vidhyamitra.com/city/mathura/-0468-05-27","hi":"https://hi.vidhyamitra.com/city/mathura/-0468-05-27","x-default":"https://vidhyamitra.com/city/mathura/-0468-05-27"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:22:29.214Z","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":"2026-09-06T12:22:29.214Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:22:29.214Z","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"}}}