{"id":"vidhyamitra:city-day:ujjain:-0461-07-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-0461-07-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-07-02","date_display":"July 2, 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":7,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552859.770833,"kali_year":2641,"ahargana":964394.2708,"sun":{"sidereal_longitude":108.3214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":273.0744,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.753,"elapsed_within_tithi_degrees":8.753},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":273.0744,"elapsed_within_degrees":6.4077},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.3958},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":7,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552859.770833,"ahargana":964394.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5183,"grahas":{"sun":{"sidereal_longitude":108.3214,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":273.0744,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":4.2626},"mars":{"sidereal_longitude":239.3527,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":109.033,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":210.2125,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":65.0397,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":208.9126,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":201.7505,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.7505,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":-461,"month":7,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552859.770833,"kali_year":2641,"ahargana":964394.2708,"sun":{"sidereal_longitude":108.3214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":273.0744,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.753,"elapsed_within_tithi_degrees":8.753},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":273.0744,"elapsed_within_degrees":6.4077},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.3958},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.263,"elongation":164.753},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.263,"opposition_distance":15.247}},"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":"05:44","sunsetLocal":"19:17","solarNoonLocal":"12:31","dayLengthHours":13.544158796537452,"dayLengthDisplay":"13 Hours 32 Mins 39 Secs","nightLengthDisplay":"10 Hours 27 Mins 21 Secs","moonriseLocal":"18:09","moonsetLocal":"04:50","rahuKala":{"name":"Rāhu Kāla","start":"15:54","end":"17:35","startHours":15.894456311839205,"endHours":17.587476161406386,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:49","startHours":9.122376913570479,"endHours":10.81539676313766,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:31","end":"14:12","startHours":12.508416612704842,"endHours":14.201436462272024,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:21","startHours":8.896640933628188,"endHours":9.34811289351277,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:40","startHours":6.300677164291843,"endHours":6.661854732199508,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:58","startHours":12.05694465282026,"endHours":12.959888572589424,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:50","startHours":3.9304493748977887,"endHours":4.833393294666952,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:44","startHours":4.607657314724662,"endHours":5.736337214436116,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:46","end":"15:40","startHours":14.76577641212775,"endHours":15.668720331896912,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08049601097357,"endHours":19.480496010973567,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.280496010973568,"endHours":19.844835960829297,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.030496010973568,"endHours":20.780496010973568,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:58","startHours":24.05694465282026,"endHours":24.959888572589424,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:44","end":"07:26","startHours":5.736337214436116,"endHours":7.429357064003297,"quality":"inauspicious"},{"name":"Udveg","start":"07:26","end":"09:07","startHours":7.429357064003297,"endHours":9.122376913570479,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:49","startHours":9.122376913570479,"endHours":10.81539676313766,"quality":"neutral"},{"name":"Labha","start":"10:49","end":"12:31","startHours":10.81539676313766,"endHours":12.508416612704842,"quality":"auspicious"},{"name":"Amṛta","start":"12:31","end":"14:12","startHours":12.508416612704842,"endHours":14.201436462272024,"quality":"auspicious"},{"name":"Kāla","start":"14:12","end":"15:54","startHours":14.201436462272024,"endHours":15.894456311839205,"quality":"inauspicious"},{"name":"Śubha","start":"15:54","end":"17:35","startHours":15.894456311839205,"endHours":17.587476161406386,"quality":"auspicious"},{"name":"Roga","start":"17:35","end":"19:17","startHours":17.587476161406386,"endHours":19.280496010973568,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:17","end":"20:35","startHours":19.280496010973568,"endHours":20.587476161406386,"quality":"inauspicious"},{"name":"Śubha","start":"20:35","end":"21:54","startHours":20.587476161406386,"endHours":21.894456311839207,"quality":"auspicious"},{"name":"Roga","start":"21:54","end":"23:12","startHours":21.894456311839207,"endHours":23.201436462272024,"quality":"inauspicious"},{"name":"Udveg","start":"23:12","end":"00:31","startHours":23.201436462272024,"endHours":24.508416612704842,"quality":"inauspicious"},{"name":"Chala","start":"00:31","end":"01:49","startHours":24.508416612704842,"endHours":25.81539676313766,"quality":"neutral"},{"name":"Labha","start":"01:49","end":"03:07","startHours":25.81539676313766,"endHours":27.122376913570477,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:26","startHours":27.122376913570477,"endHours":28.429357064003298,"quality":"auspicious"},{"name":"Kāla","start":"04:26","end":"05:44","startHours":28.429357064003298,"endHours":29.736337214436116,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.736337214436116,"endHours":6.736337214436116,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.736337214436116,"endHours":7.736337214436116,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.736337214436116,"endHours":8.736337214436116,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.736337214436116,"endHours":9.736337214436116,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.736337214436116,"endHours":10.736337214436116,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.736337214436116,"endHours":11.736337214436116,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.736337214436116,"endHours":12.736337214436116,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.736337214436116,"endHours":13.736337214436116,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.736337214436116,"endHours":14.736337214436116,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.736337214436116,"endHours":15.736337214436116,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.736337214436116,"endHours":16.736337214436116,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.736337214436116,"endHours":17.736337214436116,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.736337214436116,"endHours":18.736337214436116,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.736337214436116,"endHours":19.736337214436116,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.736337214436116,"endHours":20.736337214436116,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.736337214436116,"endHours":21.736337214436116,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.736337214436116,"endHours":22.736337214436116,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.736337214436116,"endHours":23.736337214436116,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.736337214436116,"endHours":24.736337214436116,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.736337214436116,"endHours":25.736337214436116,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.736337214436116,"endHours":26.736337214436116,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.736337214436116,"endHours":27.736337214436116,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.736337214436116,"endHours":28.736337214436116,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.736337214436116,"endHours":29.736337214436116,"planetary_lord":"Saturn"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.206716707714193,"eotMinutes":-3.658996762290447,"ayanamsa":-10.5183}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturdaśī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 2, 462 BCE · Ujjain · Vidhyamitra","description":"July 2, 462 BCE for Ujjain: Śukla Caturdaśī, sūryodaya 05:44, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-0461-07-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-0461-07-02","sa":"https://sa.vidhyamitra.com/city/ujjain/-0461-07-02","hi":"https://hi.vidhyamitra.com/city/ujjain/-0461-07-02","x-default":"https://vidhyamitra.com/city/ujjain/-0461-07-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T21:34:30.950Z","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":"2026-08-11T21:34:30.950Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T21:34:30.950Z","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"}}}