{"id":"vidhyamitra:city-day:ujjain:-0468-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-0468-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-01-07","date_display":"January 7, 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":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550126.770833,"kali_year":2633,"ahargana":961661.2708,"sun":{"sidereal_longitude":297.4386,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":267.5255,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.0868,"elapsed_within_tithi_degrees":6.0868},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":267.5255,"elapsed_within_degrees":0.8588},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.9641},"karana":{"half_tithi_index":55,"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":-468,"month":1,"day":7,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550126.770833,"ahargana":961661.2708,"kali_year":2633,"ayanamsa_lahiri":-10.6229,"grahas":{"sun":{"sidereal_longitude":297.4386,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":267.5255,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":-4.4176},"mars":{"sidereal_longitude":285.3252,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":287.9437,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":342.473,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":289.0256,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":125.3788,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":346.558,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":166.558,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"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":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550126.770833,"kali_year":2633,"ahargana":961661.2708,"sun":{"sidereal_longitude":297.4386,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":267.5255,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.0868,"elapsed_within_tithi_degrees":6.0868},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":267.5255,"elapsed_within_degrees":0.8588},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.9641},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.418,"elongation":29.913},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.418,"opposition_distance":150.087}},"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":"07:10","sunsetLocal":"17:57","solarNoonLocal":"12:33","dayLengthHours":10.778858582034621,"dayLengthDisplay":"10 Hours 46 Mins 44 Secs","nightLengthDisplay":"13 Hours 13 Mins 16 Secs","moonriseLocal":"05:12","moonsetLocal":"15:55","rahuKala":{"name":"Rāhu Kāla","start":"09:51","end":"11:12","startHours":9.85758659294834,"endHours":11.204943915702668,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:54","end":"15:15","startHours":13.899658561211323,"endHours":15.24701588396565,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:31","startHours":7.162871947439685,"endHours":8.510229270194012,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.67793894991443,"endHours":10.03723423598225,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.611991055024461,"endHours":7.899427283878718,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"12:55","startHours":12.193005952389173,"endHours":12.911596524524816,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.725690803168402,"endHours":6.444281375304044,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:10","startHours":6.264633732270133,"endHours":7.162871947439685,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.3487776687961,"endHours":15.06736824093174,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.741730529474307,"endHours":18.141730529474305,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:23","startHours":17.941730529474306,"endHours":18.39084963705908,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.691730529474306,"endHours":19.441730529474306,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"00:55","startHours":24.193005952389175,"endHours":24.911596524524814,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:31","startHours":7.162871947439685,"endHours":8.510229270194012,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:51","startHours":8.510229270194012,"endHours":9.85758659294834,"quality":"auspicious"},{"name":"Roga","start":"09:51","end":"11:12","startHours":9.85758659294834,"endHours":11.204943915702668,"quality":"inauspicious"},{"name":"Udveg","start":"11:12","end":"12:33","startHours":11.204943915702668,"endHours":12.552301238456995,"quality":"inauspicious"},{"name":"Chala","start":"12:33","end":"13:54","startHours":12.552301238456995,"endHours":13.899658561211323,"quality":"neutral"},{"name":"Labha","start":"13:54","end":"15:15","startHours":13.899658561211323,"endHours":15.24701588396565,"quality":"auspicious"},{"name":"Amṛta","start":"15:15","end":"16:36","startHours":15.24701588396565,"endHours":16.59437320671998,"quality":"auspicious"},{"name":"Kāla","start":"16:36","end":"17:57","startHours":16.59437320671998,"endHours":17.941730529474306,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:57","end":"19:36","startHours":17.941730529474306,"endHours":19.59437320671998,"quality":"auspicious"},{"name":"Amṛta","start":"19:36","end":"21:15","startHours":19.59437320671998,"endHours":21.247015883965652,"quality":"auspicious"},{"name":"Kāla","start":"21:15","end":"22:54","startHours":21.247015883965652,"endHours":22.899658561211325,"quality":"inauspicious"},{"name":"Śubha","start":"22:54","end":"00:33","startHours":22.899658561211325,"endHours":24.552301238456995,"quality":"auspicious"},{"name":"Roga","start":"00:33","end":"02:12","startHours":24.552301238456995,"endHours":26.204943915702668,"quality":"inauspicious"},{"name":"Udveg","start":"02:12","end":"03:51","startHours":26.204943915702668,"endHours":27.85758659294834,"quality":"inauspicious"},{"name":"Chala","start":"03:51","end":"05:31","startHours":27.85758659294834,"endHours":29.51022927019401,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:10","startHours":29.51022927019401,"endHours":31.162871947439683,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.162871947439685,"endHours":8.162871947439685,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.162871947439685,"endHours":9.162871947439685,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.162871947439685,"endHours":10.162871947439685,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.162871947439685,"endHours":11.162871947439685,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.162871947439685,"endHours":12.162871947439685,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.162871947439685,"endHours":13.162871947439685,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.162871947439685,"endHours":14.162871947439685,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.162871947439685,"endHours":15.162871947439685,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.162871947439685,"endHours":16.162871947439683,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.162871947439683,"endHours":17.162871947439683,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.162871947439683,"endHours":18.162871947439683,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.162871947439683,"endHours":19.162871947439683,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.162871947439683,"endHours":20.162871947439683,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.162871947439683,"endHours":21.162871947439683,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.162871947439683,"endHours":22.162871947439683,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.162871947439683,"endHours":23.162871947439683,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.162871947439683,"endHours":24.162871947439683,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.162871947439683,"endHours":25.162871947439683,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.162871947439683,"endHours":26.162871947439683,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.162871947439683,"endHours":27.162871947439683,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.162871947439683,"endHours":28.162871947439683,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.162871947439683,"endHours":29.162871947439683,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.162871947439683,"endHours":30.162871947439683,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.162871947439683,"endHours":31.162871947439683,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.37863060600487,"eotMinutes":-6.292074307419696,"ayanamsa":-10.6229}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; 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 January 7, 469 BCE · Ujjain · Vidhyamitra","description":"January 7, 469 BCE for Ujjain: Kṛṣṇa Trayodaśī, sūryodaya 07:10, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-0468-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-0468-01-07","sa":"https://sa.vidhyamitra.com/city/ujjain/-0468-01-07","hi":"https://hi.vidhyamitra.com/city/ujjain/-0468-01-07","x-default":"https://vidhyamitra.com/city/ujjain/-0468-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T02:30:06.463Z","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":"2026-09-12T02:30:06.463Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T02:30:06.463Z","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"}}}