{"id":"vidhyamitra:city-day:rishikesh:2001-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2001-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-05-16","date_display":"May 16, 2001 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":2001,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452045.770833,"kali_year":5103,"ahargana":1863580.2708,"sun":{"sidereal_longitude":31.3565,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":308.8074,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.4509,"elapsed_within_tithi_degrees":1.4509},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.8074,"elapsed_within_degrees":2.1408},"yoga":{"number":26,"name":"Indra","sum_longitude":340.164},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2001,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452045.770833,"ahargana":1863580.2708,"kali_year":5103,"ayanamsa_lahiri":23.8722,"grahas":{"sun":{"sidereal_longitude":31.382677,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":308.10317699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-3.4588},"mars":{"sidereal_longitude":244.97957700000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":52.52507700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":52.85217699999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":348.090277,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":39.212676999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.5491,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.5491,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":"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":2001,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452045.770833,"kali_year":5103,"ahargana":1863580.2708,"sun":{"sidereal_longitude":31.3565,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":308.8074,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.4509,"elapsed_within_tithi_degrees":1.4509},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.8074,"elapsed_within_degrees":2.1408},"yoga":{"number":26,"name":"Indra","sum_longitude":340.164},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.459,"elongation":82.549},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.459,"opposition_distance":97.451}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:23","sunsetLocal":"19:04","solarNoonLocal":"12:13","dayLengthHours":13.679879161433107,"dayLengthDisplay":"13 Hours 40 Mins 48 Secs","nightLengthDisplay":"10 Hours 19 Mins 12 Secs","moonriseLocal":"01:03","moonsetLocal":"12:18","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.92975731253268,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:48","startHours":7.089817731816127,"endHours":8.799802626995266,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:31","end":"12:13","startHours":10.509787522174403,"endHours":12.219772417353543,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:02","startHours":8.57180464097138,"endHours":9.02780061301915,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.949827801696701,"endHours":6.314624579334917,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763776445305773,"endHours":12.675768389401313,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5558489484459077,"endHours":4.467840892541448,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:23","startHours":4.239842906517563,"endHours":5.3798328366369885,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.499752277592393,"endHours":15.411744221687933,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.859711998070097,"endHours":19.259711998070095,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.059711998070096,"endHours":19.62970696312981,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.809711998070096,"endHours":20.559711998070096,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763776445305773,"endHours":24.675768389401313,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:23","end":"07:05","startHours":5.3798328366369885,"endHours":7.089817731816127,"quality":"auspicious"},{"name":"Amṛta","start":"07:05","end":"08:48","startHours":7.089817731816127,"endHours":8.799802626995266,"quality":"auspicious"},{"name":"Kāla","start":"08:48","end":"10:31","startHours":8.799802626995266,"endHours":10.509787522174403,"quality":"inauspicious"},{"name":"Śubha","start":"10:31","end":"12:13","startHours":10.509787522174403,"endHours":12.219772417353543,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.92975731253268,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:38","startHours":13.92975731253268,"endHours":15.63974220771182,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:21","startHours":15.63974220771182,"endHours":17.349727102890956,"quality":"neutral"},{"name":"Labha","start":"17:21","end":"19:04","startHours":17.349727102890956,"endHours":19.059711998070096,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:04","end":"20:21","startHours":19.059711998070096,"endHours":20.34972710289096,"quality":"inauspicious"},{"name":"Chala","start":"20:21","end":"21:38","startHours":20.34972710289096,"endHours":21.63974220771182,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"22:56","startHours":21.63974220771182,"endHours":22.92975731253268,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:13","startHours":22.92975731253268,"endHours":24.219772417353543,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:31","startHours":24.219772417353543,"endHours":25.509787522174406,"quality":"inauspicious"},{"name":"Śubha","start":"01:31","end":"02:48","startHours":25.509787522174406,"endHours":26.799802626995266,"quality":"auspicious"},{"name":"Roga","start":"02:48","end":"04:05","startHours":26.799802626995266,"endHours":28.089817731816126,"quality":"inauspicious"},{"name":"Udveg","start":"04:05","end":"05:23","startHours":28.089817731816126,"endHours":29.37983283663699,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.3798328366369885,"endHours":6.3798328366369885,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.3798328366369885,"endHours":7.3798328366369885,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.3798328366369885,"endHours":8.37983283663699,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.37983283663699,"endHours":9.37983283663699,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.37983283663699,"endHours":10.37983283663699,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.37983283663699,"endHours":11.37983283663699,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.37983283663699,"endHours":12.37983283663699,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.37983283663699,"endHours":13.37983283663699,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.37983283663699,"endHours":14.37983283663699,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.37983283663699,"endHours":15.37983283663699,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.37983283663699,"endHours":16.37983283663699,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.37983283663699,"endHours":17.37983283663699,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.37983283663699,"endHours":18.37983283663699,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.37983283663699,"endHours":19.37983283663699,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.37983283663699,"endHours":20.37983283663699,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.37983283663699,"endHours":21.37983283663699,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.37983283663699,"endHours":22.37983283663699,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.37983283663699,"endHours":23.37983283663699,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.37983283663699,"endHours":24.37983283663699,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.37983283663699,"endHours":25.37983283663699,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.37983283663699,"endHours":26.37983283663699,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.37983283663699,"endHours":27.37983283663699,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.37983283663699,"endHours":28.37983283663699,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.37983283663699,"endHours":29.37983283663699,"planetary_lord":"Sun"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.075569794521623,"eotMinutes":3.743254958787478,"ayanamsa":23.8722}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Navamī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 16, 2001 CE · Ṛṣikeśa · Vidhyamitra","description":"May 16, 2001 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 05:23, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2001-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2001-05-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2001-05-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2001-05-16","x-default":"https://vidhyamitra.com/city/rishikesh/2001-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T07:10:25.681Z","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":"2026-05-17T07:10:25.681Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T07:10:25.681Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}