{"id":"vidhyamitra:city-day:patna:2000-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2000-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-07-15","date_display":"July 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451740.770833,"kali_year":5102,"ahargana":1863275.2708,"sun":{"sidereal_longitude":88.5775,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":251.577,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.9994,"elapsed_within_tithi_degrees":6.9994},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.577,"elapsed_within_degrees":11.577},"yoga":{"number":26,"name":"Indra","sum_longitude":340.1545},"karana":{"half_tithi_index":27,"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":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451740.770833,"ahargana":1863275.2708,"kali_year":5102,"ayanamsa_lahiri":23.8605,"grahas":{"sun":{"sidereal_longitude":89.01003000000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":252.27403000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":1.7663},"mars":{"sidereal_longitude":85.01342999999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":76.62662999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":39.055830000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":98.24603000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":34.13413000000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":94.7094,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.7094,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451740.770833,"kali_year":5102,"ahargana":1863275.2708,"sun":{"sidereal_longitude":88.5775,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":251.577,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.9994,"elapsed_within_tithi_degrees":6.9994},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.577,"elapsed_within_degrees":11.577},"yoga":{"number":26,"name":"Indra","sum_longitude":340.1545},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.766,"elongation":162.999},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.766,"opposition_distance":17.001}},"eclipse_window_40days":[{"offset_days":-13,"type":"solar","occurs":true,"moon_latitude":-1.266,"elongation":2.772},{"offset_days":16,"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":"05:07","sunsetLocal":"18:43","solarNoonLocal":"11:55","dayLengthHours":13.584946704999105,"dayLengthDisplay":"13 Hours 35 Mins 06 Secs","nightLengthDisplay":"10 Hours 24 Mins 54 Secs","moonriseLocal":"17:33","moonsetLocal":"04:03","rahuKala":{"name":"Rāhu Kāla","start":"08:31","end":"10:13","startHours":8.520983508856478,"endHours":10.219101846981365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:37","end":"15:19","startHours":13.615338523231141,"endHours":15.31345686135603,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:07","end":"06:49","startHours":5.124746832606701,"endHours":6.822865170731589,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:18","end":"08:45","startHours":8.294567730439825,"endHours":8.74739928727313,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:41","end":"06:03","startHours":5.69078627864833,"endHours":6.053051524114974,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.46438862827295,"endHours":12.370051741939555,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:19","end":"04:13","startHours":3.313420605273487,"endHours":4.219083718940094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:00","end":"05:07","startHours":3.992667940523442,"endHours":5.124746832606701,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"15:05","startHours":14.18137796927277,"endHours":15.087041082939377,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.509693537605806,"endHours":18.909693537605804,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:17","startHours":18.709693537605805,"endHours":19.275732983647433,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.459693537605805,"endHours":20.209693537605805,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.46438862827295,"endHours":24.370051741939555,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:07","end":"06:49","startHours":5.124746832606701,"endHours":6.822865170731589,"quality":"inauspicious"},{"name":"Śubha","start":"06:49","end":"08:31","startHours":6.822865170731589,"endHours":8.520983508856478,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"10:13","startHours":8.520983508856478,"endHours":10.219101846981365,"quality":"inauspicious"},{"name":"Udveg","start":"10:13","end":"11:55","startHours":10.219101846981365,"endHours":11.917220185106252,"quality":"inauspicious"},{"name":"Chala","start":"11:55","end":"13:37","startHours":11.917220185106252,"endHours":13.615338523231141,"quality":"neutral"},{"name":"Labha","start":"13:37","end":"15:19","startHours":13.615338523231141,"endHours":15.31345686135603,"quality":"auspicious"},{"name":"Amṛta","start":"15:19","end":"17:01","startHours":15.31345686135603,"endHours":17.011575199480916,"quality":"auspicious"},{"name":"Kāla","start":"17:01","end":"18:43","startHours":17.011575199480916,"endHours":18.709693537605805,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:43","end":"20:01","startHours":18.709693537605805,"endHours":20.011575199480916,"quality":"auspicious"},{"name":"Amṛta","start":"20:01","end":"21:19","startHours":20.011575199480916,"endHours":21.31345686135603,"quality":"auspicious"},{"name":"Kāla","start":"21:19","end":"22:37","startHours":21.31345686135603,"endHours":22.61533852323114,"quality":"inauspicious"},{"name":"Śubha","start":"22:37","end":"23:55","startHours":22.61533852323114,"endHours":23.917220185106252,"quality":"auspicious"},{"name":"Roga","start":"23:55","end":"01:13","startHours":23.917220185106252,"endHours":25.219101846981363,"quality":"inauspicious"},{"name":"Udveg","start":"01:13","end":"02:31","startHours":25.219101846981363,"endHours":26.520983508856474,"quality":"inauspicious"},{"name":"Chala","start":"02:31","end":"03:49","startHours":26.520983508856474,"endHours":27.82286517073159,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:07","startHours":27.82286517073159,"endHours":29.1247468326067,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.124746832606701,"endHours":6.124746832606701,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.124746832606701,"endHours":7.124746832606701,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.124746832606701,"endHours":8.1247468326067,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.1247468326067,"endHours":9.1247468326067,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.1247468326067,"endHours":10.1247468326067,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.1247468326067,"endHours":11.1247468326067,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.1247468326067,"endHours":12.1247468326067,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.1247468326067,"endHours":13.1247468326067,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.1247468326067,"endHours":14.1247468326067,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.1247468326067,"endHours":15.1247468326067,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.1247468326067,"endHours":16.1247468326067,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.1247468326067,"endHours":17.1247468326067,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.1247468326067,"endHours":18.1247468326067,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.1247468326067,"endHours":19.1247468326067,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.1247468326067,"endHours":20.1247468326067,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.1247468326067,"endHours":21.1247468326067,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.1247468326067,"endHours":22.1247468326067,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.1247468326067,"endHours":23.1247468326067,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.1247468326067,"endHours":24.1247468326067,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.1247468326067,"endHours":25.1247468326067,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.1247468326067,"endHours":26.1247468326067,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.1247468326067,"endHours":27.1247468326067,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.1247468326067,"endHours":28.1247468326067,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.1247468326067,"endHours":29.1247468326067,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","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":"Lumba","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.497762645077493,"eotMinutes":-5.583611106375076,"ayanamsa":23.8605}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturdaśī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"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":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 15, 2000 CE · Patna, Bihar · Vidhyamitra","description":"July 15, 2000 CE for Patna, Bihar: Śukla Caturdaśī, sūryodaya 05:07, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2000-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2000-07-15","sa":"https://sa.vidhyamitra.com/city/patna/2000-07-15","hi":"https://hi.vidhyamitra.com/city/patna/2000-07-15","x-default":"https://vidhyamitra.com/city/patna/2000-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:10:24.205Z","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":"2026-06-03T07:10:24.205Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:10:24.205Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}