{"id":"vidhyamitra:city-day:rishikesh:2072-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2072-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-05-16","date_display":"May 16, 2072 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":2072,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477978.770833,"kali_year":5174,"ahargana":1889513.2708,"sun":{"sidereal_longitude":31.0004,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":6.2796,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.2791,"elapsed_within_tithi_degrees":11.2791},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":6.2796,"elapsed_within_degrees":6.2796},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.28},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2072,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477978.770833,"ahargana":1889513.2708,"kali_year":5174,"ayanamsa_lahiri":24.864,"grahas":{"sun":{"sidereal_longitude":31.19214599999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":7.193546000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-2.9968},"mars":{"sidereal_longitude":104.87264599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":31.590945999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":47.14874600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":28.61854599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":193.52364599999999,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":144.4939,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":324.4939,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2072,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477978.770833,"kali_year":5174,"ahargana":1889513.2708,"sun":{"sidereal_longitude":31.0004,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":6.2796,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.2791,"elapsed_within_tithi_degrees":11.2791},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":6.2796,"elapsed_within_degrees":6.2796},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.28},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.997,"elongation":24.721},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.997,"opposition_distance":155.279}},"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":"05:22","sunsetLocal":"19:04","solarNoonLocal":"12:13","dayLengthHours":13.696932772467164,"dayLengthDisplay":"13 Hours 41 Mins 49 Secs","nightLengthDisplay":"10 Hours 18 Mins 11 Secs","moonriseLocal":"04:06","moonsetLocal":"17:09","rahuKala":{"name":"Rāhu Kāla","start":"07:05","end":"08:48","startHours":7.083422627678355,"endHours":8.795539224236752,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:30","end":"12:13","startHours":10.507655820795147,"endHours":12.219772417353543,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:39","startHours":13.931889013911938,"endHours":15.644005610470334,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:01","startHours":8.567257011362297,"endHours":9.023821437111204,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.9420115633060915,"endHours":6.307263103905216,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763207991604638,"endHours":12.676336843102447,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:27","startHours":3.545048328124338,"endHours":4.458177179622148,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:22","startHours":4.229894966747696,"endHours":5.37130603111996,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.50259454609807,"endHours":15.415723397595881,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.868238803587126,"endHours":19.268238803587124,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.068238803587125,"endHours":19.638944335773257,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.818238803587125,"endHours":20.568238803587125,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763207991604638,"endHours":24.676336843102447,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:22","end":"07:05","startHours":5.37130603111996,"endHours":7.083422627678355,"quality":"auspicious"},{"name":"Kāla","start":"07:05","end":"08:48","startHours":7.083422627678355,"endHours":8.795539224236752,"quality":"inauspicious"},{"name":"Śubha","start":"08:48","end":"10:30","startHours":8.795539224236752,"endHours":10.507655820795147,"quality":"auspicious"},{"name":"Roga","start":"10:30","end":"12:13","startHours":10.507655820795147,"endHours":12.219772417353543,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.931889013911938,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:39","startHours":13.931889013911938,"endHours":15.644005610470334,"quality":"neutral"},{"name":"Labha","start":"15:39","end":"17:21","startHours":15.644005610470334,"endHours":17.35612220702873,"quality":"auspicious"},{"name":"Amṛta","start":"17:21","end":"19:04","startHours":17.35612220702873,"endHours":19.068238803587125,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:04","end":"20:21","startHours":19.068238803587125,"endHours":20.35612220702873,"quality":"neutral"},{"name":"Labha","start":"20:21","end":"21:39","startHours":20.35612220702873,"endHours":21.644005610470334,"quality":"auspicious"},{"name":"Amṛta","start":"21:39","end":"22:56","startHours":21.644005610470334,"endHours":22.93188901391194,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:13","startHours":22.93188901391194,"endHours":24.219772417353543,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:30","startHours":24.219772417353543,"endHours":25.507655820795147,"quality":"auspicious"},{"name":"Roga","start":"01:30","end":"02:48","startHours":25.507655820795147,"endHours":26.79553922423675,"quality":"inauspicious"},{"name":"Udveg","start":"02:48","end":"04:05","startHours":26.79553922423675,"endHours":28.083422627678356,"quality":"inauspicious"},{"name":"Chala","start":"04:05","end":"05:22","startHours":28.083422627678356,"endHours":29.37130603111996,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:22","end":"06:22","startHours":5.37130603111996,"endHours":6.37130603111996,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:22","end":"07:22","startHours":6.37130603111996,"endHours":7.37130603111996,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:22","end":"08:22","startHours":7.37130603111996,"endHours":8.37130603111996,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:22","end":"09:22","startHours":8.37130603111996,"endHours":9.37130603111996,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:22","end":"10:22","startHours":9.37130603111996,"endHours":10.37130603111996,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:22","end":"11:22","startHours":10.37130603111996,"endHours":11.37130603111996,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:22","end":"12:22","startHours":11.37130603111996,"endHours":12.37130603111996,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:22","end":"13:22","startHours":12.37130603111996,"endHours":13.37130603111996,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:22","end":"14:22","startHours":13.37130603111996,"endHours":14.37130603111996,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:22","end":"15:22","startHours":14.37130603111996,"endHours":15.37130603111996,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:22","end":"16:22","startHours":15.37130603111996,"endHours":16.37130603111996,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:22","end":"17:22","startHours":16.37130603111996,"endHours":17.37130603111996,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:22","end":"18:22","startHours":17.37130603111996,"endHours":18.37130603111996,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:22","end":"19:22","startHours":18.37130603111996,"endHours":19.37130603111996,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:22","end":"20:22","startHours":19.37130603111996,"endHours":20.37130603111996,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:22","end":"21:22","startHours":20.37130603111996,"endHours":21.37130603111996,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:22","end":"22:22","startHours":21.37130603111996,"endHours":22.37130603111996,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:22","end":"23:22","startHours":22.37130603111996,"endHours":23.37130603111996,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:22","end":"00:22","startHours":23.37130603111996,"endHours":24.37130603111996,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:22","end":"01:22","startHours":24.37130603111996,"endHours":25.37130603111996,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:22","end":"02:22","startHours":25.37130603111996,"endHours":26.37130603111996,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:22","end":"03:22","startHours":26.37130603111996,"endHours":27.37130603111996,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:22","end":"04:22","startHours":27.37130603111996,"endHours":28.37130603111996,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:22","end":"05:22","startHours":28.37130603111996,"endHours":29.37130603111996,"planetary_lord":"Venus"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","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":19.265919274234168,"eotMinutes":3.743254958787478,"ayanamsa":24.864}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"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},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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, 2072 CE · Ṛṣikeśa · Vidhyamitra","description":"May 16, 2072 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 05:22, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2072-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2072-05-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2072-05-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2072-05-16","x-default":"https://vidhyamitra.com/city/rishikesh/2072-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T15:48:41.051Z","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":"2026-05-19T15:48:41.051Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T15:48:41.051Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}