{"id":"vidhyamitra:city-day:ujjain:-3171-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3171-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-07-24","date_display":"July 24, 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":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563054.770833,"kali_year":-69,"ahargana":-25410.7292,"sun":{"sidereal_longitude":152.8201,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":341.3734,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.5533,"elapsed_within_tithi_degrees":8.5533},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.3734,"elapsed_within_degrees":8.0401},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.1935},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":7,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563054.770833,"ahargana":-25410.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3747,"grahas":{"sun":{"sidereal_longitude":152.8201,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":341.3734,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false,"latitude":-4.3462},"mars":{"sidereal_longitude":55.5132,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":138.0512,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":64.8401,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":165.7017,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":226.4279,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":86.3827,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":266.3827,"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":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563054.770833,"kali_year":-69,"ahargana":-25410.7292,"sun":{"sidereal_longitude":152.8201,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":341.3734,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.5533,"elapsed_within_tithi_degrees":8.5533},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.3734,"elapsed_within_degrees":8.0401},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.1935},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.346,"elongation":171.447},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.346,"opposition_distance":8.553}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:48","sunsetLocal":"19:18","solarNoonLocal":"12:33","dayLengthHours":13.50563282704584,"dayLengthDisplay":"13 Hours 30 Mins 20 Secs","nightLengthDisplay":"10 Hours 29 Mins 40 Secs","moonriseLocal":"19:43","moonsetLocal":"06:31","rahuKala":{"name":"Rāhu Kāla","start":"14:14","end":"15:56","startHours":14.238306936566037,"endHours":15.926511039946767,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:48","end":"07:29","startHours":5.797286419662387,"endHours":7.485490523043117,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:10","end":"10:52","startHours":9.173694626423847,"endHours":10.861898729804576,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:24","startHours":8.948600745973083,"endHours":9.398788506874611,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.360021120789297,"endHours":6.72017132951052,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"13:00","startHours":12.09991507228378,"endHours":13.000290594086836,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:54","startHours":3.996535376056275,"endHours":4.896910897859331,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:48","startHours":4.671817017408567,"endHours":5.797286419662387,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:42","startHours":14.801041637692947,"endHours":15.701417159496003,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.10291924670823,"endHours":19.502919246708228,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:52","startHours":19.30291924670823,"endHours":19.86565394783514,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.05291924670823,"endHours":20.80291924670823,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"01:00","startHours":24.09991507228378,"endHours":25.000290594086835,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:48","end":"07:29","startHours":5.797286419662387,"endHours":7.485490523043117,"quality":"auspicious"},{"name":"Roga","start":"07:29","end":"09:10","startHours":7.485490523043117,"endHours":9.173694626423847,"quality":"inauspicious"},{"name":"Udveg","start":"09:10","end":"10:52","startHours":9.173694626423847,"endHours":10.861898729804576,"quality":"inauspicious"},{"name":"Chala","start":"10:52","end":"12:33","startHours":10.861898729804576,"endHours":12.550102833185306,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"14:14","startHours":12.550102833185306,"endHours":14.238306936566037,"quality":"auspicious"},{"name":"Amṛta","start":"14:14","end":"15:56","startHours":14.238306936566037,"endHours":15.926511039946767,"quality":"auspicious"},{"name":"Kāla","start":"15:56","end":"17:37","startHours":15.926511039946767,"endHours":17.614715143327498,"quality":"inauspicious"},{"name":"Śubha","start":"17:37","end":"19:18","startHours":17.614715143327498,"endHours":19.30291924670823,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:18","end":"20:37","startHours":19.30291924670823,"endHours":20.614715143327498,"quality":"auspicious"},{"name":"Kāla","start":"20:37","end":"21:56","startHours":20.614715143327498,"endHours":21.926511039946767,"quality":"inauspicious"},{"name":"Śubha","start":"21:56","end":"23:14","startHours":21.926511039946767,"endHours":23.238306936566037,"quality":"auspicious"},{"name":"Roga","start":"23:14","end":"00:33","startHours":23.238306936566037,"endHours":24.550102833185306,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"01:52","startHours":24.550102833185306,"endHours":25.86189872980458,"quality":"inauspicious"},{"name":"Chala","start":"01:52","end":"03:10","startHours":25.86189872980458,"endHours":27.17369462642385,"quality":"neutral"},{"name":"Labha","start":"03:10","end":"04:29","startHours":27.17369462642385,"endHours":28.48549052304312,"quality":"auspicious"},{"name":"Amṛta","start":"04:29","end":"05:48","startHours":28.48549052304312,"endHours":29.797286419662388,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.797286419662387,"endHours":6.797286419662387,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.797286419662387,"endHours":7.797286419662387,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.797286419662387,"endHours":8.797286419662388,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.797286419662388,"endHours":9.797286419662388,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.797286419662388,"endHours":10.797286419662388,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.797286419662388,"endHours":11.797286419662388,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.797286419662388,"endHours":12.797286419662388,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.797286419662388,"endHours":13.797286419662388,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.797286419662388,"endHours":14.797286419662388,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.797286419662388,"endHours":15.797286419662388,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.797286419662388,"endHours":16.797286419662388,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.797286419662388,"endHours":17.797286419662388,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.797286419662388,"endHours":18.797286419662388,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.797286419662388,"endHours":19.797286419662388,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.797286419662388,"endHours":20.797286419662388,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.797286419662388,"endHours":21.797286419662388,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.797286419662388,"endHours":22.797286419662388,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.797286419662388,"endHours":23.797286419662388,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.797286419662388,"endHours":24.797286419662388,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.797286419662388,"endHours":25.797286419662388,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.797286419662388,"endHours":26.797286419662388,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.797286419662388,"endHours":27.797286419662388,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.797286419662388,"endHours":28.797286419662388,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.797286419662388,"endHours":29.797286419662388,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","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":22.653578483327685,"eotMinutes":-6.160169991118456,"ayanamsa":-48.3747}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa 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 Kṛṣṇa Pratipada · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 24, 3172 BCE · Ujjain · Vidhyamitra","description":"July 24, 3172 BCE for Ujjain: Kṛṣṇa Pratipada, sūryodaya 05:48, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3171-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3171-07-24","sa":"https://sa.vidhyamitra.com/city/ujjain/-3171-07-24","hi":"https://hi.vidhyamitra.com/city/ujjain/-3171-07-24","x-default":"https://vidhyamitra.com/city/ujjain/-3171-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T14:06:15.931Z","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":"2026-09-12T14:06:15.931Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T14:06:15.931Z","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"}}}