{"id":"vidhyamitra:city-day:patna:2000-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2000-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-07-29","date_display":"July 29, 2000 CE","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2000,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451754.770833,"kali_year":5102,"ahargana":1863289.2708,"sun":{"sidereal_longitude":101.8554,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.5148,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.6594,"elapsed_within_tithi_degrees":8.6594},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.5148,"elapsed_within_degrees":7.8482},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.3703},"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":2000,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451754.770833,"ahargana":1863289.2708,"kali_year":5102,"ayanamsa_lahiri":23.861,"grahas":{"sun":{"sidereal_longitude":102.376596,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":73.21079599999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-1.4973},"mars":{"sidereal_longitude":94.139096,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":82.66139599999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":41.56439599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":115.464696,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":35.29829599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":93.9677,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.9677,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2000,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451754.770833,"kali_year":5102,"ahargana":1863289.2708,"sun":{"sidereal_longitude":101.8554,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.5148,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.6594,"elapsed_within_tithi_degrees":8.6594},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.5148,"elapsed_within_degrees":7.8482},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":176.3703},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.497,"elongation":27.341},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.497,"opposition_distance":152.659}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":0.753,"elongation":0.251}]},"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"sunriseLocal":"05:14","sunsetLocal":"18:37","solarNoonLocal":"11:56","dayLengthHours":13.376849350169692,"dayLengthDisplay":"13 Hours 22 Mins 37 Secs","nightLengthDisplay":"10 Hours 37 Mins 23 Secs","moonriseLocal":"03:09","moonsetLocal":"16:49","rahuKala":{"name":"Rāhu Kāla","start":"08:35","end":"10:15","startHours":8.582408602550014,"endHours":10.254514771321226,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:36","end":"15:16","startHours":13.598727108863649,"endHours":15.27083327763486,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:14","end":"06:55","startHours":5.23819626500759,"endHours":6.910302433778802,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:22","end":"08:48","startHours":8.359461113380519,"endHours":8.805356091719508,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:09","startHours":5.795564987931328,"endHours":6.152280970602519,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:29","end":"12:22","startHours":11.480725961753448,"endHours":12.372515918431427,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.4546163516516315,"endHours":4.346406308329611,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:14","startHours":4.123458819160116,"endHours":5.23819626500759,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:03","startHours":14.156095831787386,"endHours":15.047885788465365,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.415045615177284,"endHours":18.815045615177283,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:10","startHours":18.615045615177284,"endHours":19.17241433810102,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.365045615177284,"endHours":20.115045615177284,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:29","end":"00:22","startHours":23.480725961753446,"endHours":24.37251591843143,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:14","end":"06:55","startHours":5.23819626500759,"endHours":6.910302433778802,"quality":"inauspicious"},{"name":"Śubha","start":"06:55","end":"08:35","startHours":6.910302433778802,"endHours":8.582408602550014,"quality":"auspicious"},{"name":"Roga","start":"08:35","end":"10:15","startHours":8.582408602550014,"endHours":10.254514771321226,"quality":"inauspicious"},{"name":"Udveg","start":"10:15","end":"11:56","startHours":10.254514771321226,"endHours":11.926620940092437,"quality":"inauspicious"},{"name":"Chala","start":"11:56","end":"13:36","startHours":11.926620940092437,"endHours":13.598727108863649,"quality":"neutral"},{"name":"Labha","start":"13:36","end":"15:16","startHours":13.598727108863649,"endHours":15.27083327763486,"quality":"auspicious"},{"name":"Amṛta","start":"15:16","end":"16:57","startHours":15.27083327763486,"endHours":16.942939446406072,"quality":"auspicious"},{"name":"Kāla","start":"16:57","end":"18:37","startHours":16.942939446406072,"endHours":18.615045615177284,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:37","end":"19:57","startHours":18.615045615177284,"endHours":19.942939446406072,"quality":"auspicious"},{"name":"Amṛta","start":"19:57","end":"21:16","startHours":19.942939446406072,"endHours":21.27083327763486,"quality":"auspicious"},{"name":"Kāla","start":"21:16","end":"22:36","startHours":21.27083327763486,"endHours":22.59872710886365,"quality":"inauspicious"},{"name":"Śubha","start":"22:36","end":"23:56","startHours":22.59872710886365,"endHours":23.926620940092437,"quality":"auspicious"},{"name":"Roga","start":"23:56","end":"01:15","startHours":23.926620940092437,"endHours":25.254514771321226,"quality":"inauspicious"},{"name":"Udveg","start":"01:15","end":"02:35","startHours":25.254514771321226,"endHours":26.582408602550014,"quality":"inauspicious"},{"name":"Chala","start":"02:35","end":"03:55","startHours":26.582408602550014,"endHours":27.910302433778803,"quality":"neutral"},{"name":"Labha","start":"03:55","end":"05:14","startHours":27.910302433778803,"endHours":29.23819626500759,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:14","end":"06:14","startHours":5.23819626500759,"endHours":6.23819626500759,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:14","end":"07:14","startHours":6.23819626500759,"endHours":7.23819626500759,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:14","end":"08:14","startHours":7.23819626500759,"endHours":8.238196265007591,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:14","end":"09:14","startHours":8.238196265007591,"endHours":9.238196265007591,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:14","end":"10:14","startHours":9.238196265007591,"endHours":10.238196265007591,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:14","end":"11:14","startHours":10.238196265007591,"endHours":11.238196265007591,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:14","end":"12:14","startHours":11.238196265007591,"endHours":12.238196265007591,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:14","end":"13:14","startHours":12.238196265007591,"endHours":13.238196265007591,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:14","end":"14:14","startHours":13.238196265007591,"endHours":14.238196265007591,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:14","end":"15:14","startHours":14.238196265007591,"endHours":15.238196265007591,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:14","end":"16:14","startHours":15.238196265007591,"endHours":16.23819626500759,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:14","end":"17:14","startHours":16.23819626500759,"endHours":17.23819626500759,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:14","end":"18:14","startHours":17.23819626500759,"endHours":18.23819626500759,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:14","end":"19:14","startHours":18.23819626500759,"endHours":19.23819626500759,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:14","end":"20:14","startHours":19.23819626500759,"endHours":20.23819626500759,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:14","end":"21:14","startHours":20.23819626500759,"endHours":21.23819626500759,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:14","end":"22:14","startHours":21.23819626500759,"endHours":22.23819626500759,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:14","end":"23:14","startHours":22.23819626500759,"endHours":23.23819626500759,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:14","end":"00:14","startHours":23.23819626500759,"endHours":24.23819626500759,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:14","end":"01:14","startHours":24.23819626500759,"endHours":25.23819626500759,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:14","end":"02:14","startHours":25.23819626500759,"endHours":26.23819626500759,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:14","end":"03:14","startHours":26.23819626500759,"endHours":27.23819626500759,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:14","end":"04:14","startHours":27.23819626500759,"endHours":28.23819626500759,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:14","end":"05:14","startHours":28.23819626500759,"endHours":29.23819626500759,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.711318717215946,"eotMinutes":-6.147656405546237,"ayanamsa":23.861}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Trayodaśī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"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":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"patna"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 29, 2000 CE · Patna, Bihar · Vidhyamitra","description":"July 29, 2000 CE for Patna, Bihar: Kṛṣṇa Trayodaśī, sūryodaya 05:14, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2000-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2000-07-29","sa":"https://sa.vidhyamitra.com/city/patna/2000-07-29","hi":"https://hi.vidhyamitra.com/city/patna/2000-07-29","x-default":"https://vidhyamitra.com/city/patna/2000-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:59:57.799Z","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":"2026-06-01T14:59:57.799Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:59:57.799Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}