{"id":"vidhyamitra:city-day:ujjain:-0461-03-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-0461-03-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-03-09","date_display":"March 9, 462 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":-461,"month":3,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552744.770833,"kali_year":2640,"ahargana":964279.2708,"sun":{"sidereal_longitude":358.5313,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":206.0298,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.4986,"elapsed_within_tithi_degrees":3.4986},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":206.0298,"elapsed_within_degrees":6.0298},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.5611},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":-461,"month":3,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552744.770833,"ahargana":964279.2708,"kali_year":2640,"ayanamsa_lahiri":-10.5227,"grahas":{"sun":{"sidereal_longitude":358.5313,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":206.0298,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-0.1423},"mars":{"sidereal_longitude":248.1287,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":349.4428,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":219.4196,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":33.4649,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":215.0178,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":207.8438,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.8438,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":-461,"month":3,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552744.770833,"kali_year":2640,"ahargana":964279.2708,"sun":{"sidereal_longitude":358.5313,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":206.0298,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.4986,"elapsed_within_tithi_degrees":3.4986},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":206.0298,"elapsed_within_degrees":6.0298},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.5611},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.142,"elongation":152.501},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.142,"opposition_distance":27.499}},"eclipse_window_40days":[{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":1.169,"elongation":0.899}]},"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":"06:43","sunsetLocal":"18:34","solarNoonLocal":"12:38","dayLengthHours":11.850028128624292,"dayLengthDisplay":"11 Hours 51 Mins 00 Secs","nightLengthDisplay":"12 Hours 09 Mins 00 Secs","moonriseLocal":"20:36","moonsetLocal":"08:20","rahuKala":{"name":"Rāhu Kāla","start":"09:40","end":"11:09","startHours":9.67294044712498,"endHours":11.154193963203017,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:36","startHours":14.11670099535909,"endHours":15.597954511437127,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:43","end":"08:12","startHours":6.710433414968907,"endHours":8.191686931046943,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:52","startHours":9.475439978314576,"endHours":9.870440915935385,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:31","startHours":7.20418458699492,"endHours":7.520185337091568,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"13:02","startHours":12.240446541660244,"endHours":13.030448416901862,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:08","end":"05:55","startHours":5.130429664485669,"endHours":5.9204315397272875,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:43","end":"06:43","startHours":5.722931070916883,"endHours":6.710433414968907,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:24","startHours":14.610452167385102,"endHours":15.400454042626722,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.3604615435932,"endHours":18.7604615435932,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:03","startHours":18.5604615435932,"endHours":19.05421271561921,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.3104615435932,"endHours":20.0604615435932,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"01:02","startHours":24.240446541660244,"endHours":25.030448416901866,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:43","end":"08:12","startHours":6.710433414968907,"endHours":8.191686931046943,"quality":"inauspicious"},{"name":"Śubha","start":"08:12","end":"09:40","startHours":8.191686931046943,"endHours":9.67294044712498,"quality":"auspicious"},{"name":"Roga","start":"09:40","end":"11:09","startHours":9.67294044712498,"endHours":11.154193963203017,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:38","startHours":11.154193963203017,"endHours":12.635447479281053,"quality":"inauspicious"},{"name":"Chala","start":"12:38","end":"14:07","startHours":12.635447479281053,"endHours":14.11670099535909,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:36","startHours":14.11670099535909,"endHours":15.597954511437127,"quality":"auspicious"},{"name":"Amṛta","start":"15:36","end":"17:05","startHours":15.597954511437127,"endHours":17.079208027515165,"quality":"auspicious"},{"name":"Kāla","start":"17:05","end":"18:34","startHours":17.079208027515165,"endHours":18.5604615435932,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:34","end":"20:05","startHours":18.5604615435932,"endHours":20.07920802751516,"quality":"auspicious"},{"name":"Amṛta","start":"20:05","end":"21:36","startHours":20.07920802751516,"endHours":21.597954511437127,"quality":"auspicious"},{"name":"Kāla","start":"21:36","end":"23:07","startHours":21.597954511437127,"endHours":23.11670099535909,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:38","startHours":23.11670099535909,"endHours":24.635447479281055,"quality":"auspicious"},{"name":"Roga","start":"00:38","end":"02:09","startHours":24.635447479281055,"endHours":26.154193963203017,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"03:40","startHours":26.154193963203017,"endHours":27.67294044712498,"quality":"inauspicious"},{"name":"Chala","start":"03:40","end":"05:12","startHours":27.67294044712498,"endHours":29.191686931046945,"quality":"neutral"},{"name":"Labha","start":"05:12","end":"06:43","startHours":29.191686931046945,"endHours":30.710433414968907,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:43","end":"07:43","startHours":6.710433414968907,"endHours":7.710433414968907,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:43","end":"08:43","startHours":7.710433414968907,"endHours":8.710433414968907,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:43","end":"09:43","startHours":8.710433414968907,"endHours":9.710433414968907,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:43","end":"10:43","startHours":9.710433414968907,"endHours":10.710433414968907,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:43","end":"11:43","startHours":10.710433414968907,"endHours":11.710433414968907,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:43","end":"12:43","startHours":11.710433414968907,"endHours":12.710433414968907,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:43","end":"13:43","startHours":12.710433414968907,"endHours":13.710433414968907,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:43","end":"14:43","startHours":13.710433414968907,"endHours":14.710433414968907,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:43","end":"15:43","startHours":14.710433414968907,"endHours":15.710433414968907,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:43","end":"16:43","startHours":15.710433414968907,"endHours":16.710433414968907,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:43","end":"17:43","startHours":16.710433414968907,"endHours":17.710433414968907,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:43","end":"18:43","startHours":17.710433414968907,"endHours":18.710433414968907,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:43","end":"19:43","startHours":18.710433414968907,"endHours":19.710433414968907,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:43","end":"20:43","startHours":19.710433414968907,"endHours":20.710433414968907,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:43","end":"21:43","startHours":20.710433414968907,"endHours":21.710433414968907,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:43","end":"22:43","startHours":21.710433414968907,"endHours":22.710433414968907,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:43","end":"23:43","startHours":22.710433414968907,"endHours":23.710433414968907,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:43","end":"00:43","startHours":23.710433414968907,"endHours":24.710433414968907,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:43","end":"01:43","startHours":24.710433414968907,"endHours":25.710433414968907,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:43","end":"02:43","startHours":25.710433414968907,"endHours":26.710433414968907,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:43","end":"03:43","startHours":26.710433414968907,"endHours":27.710433414968907,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:43","end":"04:43","startHours":27.710433414968907,"endHours":28.710433414968907,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:43","end":"05:43","startHours":28.710433414968907,"endHours":29.710433414968907,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:43","end":"06:43","startHours":29.710433414968907,"endHours":30.710433414968907,"planetary_lord":"Mercury"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.740032218555255,"eotMinutes":-11.280848756863184,"ayanamsa":-10.5227}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Tṛtīyā · Vikram -404 undefined · Śaka -539 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":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 9, 462 BCE · Ujjain · Vidhyamitra","description":"March 9, 462 BCE for Ujjain: Kṛṣṇa Tṛtīyā, sūryodaya 06:43, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-0461-03-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-0461-03-09","sa":"https://sa.vidhyamitra.com/city/ujjain/-0461-03-09","hi":"https://hi.vidhyamitra.com/city/ujjain/-0461-03-09","x-default":"https://vidhyamitra.com/city/ujjain/-0461-03-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T23:39:24.707Z","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":"2026-08-12T23:39:24.707Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T23:39:24.707Z","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"}}}