{"id":"vidhyamitra:city-day:rishikesh:2181-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2181-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-07-16","date_display":"July 16, 2181 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":2181,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517850.770833,"kali_year":5283,"ahargana":1929385.2708,"sun":{"sidereal_longitude":86.8396,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":136.3653,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.5256,"elapsed_within_tithi_degrees":1.5256},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.3653,"elapsed_within_degrees":3.032},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.2049},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2181,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517850.770833,"ahargana":1929385.2708,"kali_year":5283,"ayanamsa_lahiri":26.3889,"grahas":{"sun":{"sidereal_longitude":87.69734199999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":134.190342,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-3.7082},"mars":{"sidereal_longitude":127.06874199999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":102.57824199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":115.86774200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":124.13114200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":86.07394199999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":191.8835,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":11.8835,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"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":2181,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517850.770833,"kali_year":5283,"ahargana":1929385.2708,"sun":{"sidereal_longitude":86.8396,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":136.3653,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.5256,"elapsed_within_tithi_degrees":1.5256},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.3653,"elapsed_within_degrees":3.032},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.2049},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.708,"elongation":49.526},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.708,"opposition_distance":130.474}},"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":"05:26","sunsetLocal":"19:19","solarNoonLocal":"12:23","dayLengthHours":13.881574186450415,"dayLengthDisplay":"13 Hours 52 Mins 54 Secs","nightLengthDisplay":"10 Hours 07 Mins 06 Secs","moonriseLocal":"09:08","moonsetLocal":"21:49","rahuKala":{"name":"Rāhu Kāla","start":"07:10","end":"08:54","startHours":7.171282023685713,"endHours":8.906478796992015,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:23","startHours":10.641675570298316,"endHours":12.376872343604617,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:51","startHours":14.11206911691092,"endHours":15.847265890217223,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.675119227217841,"endHours":9.137838366766188,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:23","startHours":6.014484174814845,"endHours":6.384659486453523,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:50","startHours":11.91415320405627,"endHours":12.839591483152965,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:31","startHours":3.585208692186022,"endHours":4.510646971282717,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:26","startHours":4.279287401508543,"endHours":5.436085250379411,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:37","startHours":14.690468041346353,"endHours":15.615906320443047,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.117659436829825,"endHours":19.517659436829824,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:54","startHours":19.317659436829825,"endHours":19.896058361265258,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.067659436829825,"endHours":20.817659436829825,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:50","startHours":23.91415320405627,"endHours":24.839591483152965,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:26","end":"07:10","startHours":5.436085250379411,"endHours":7.171282023685713,"quality":"auspicious"},{"name":"Kāla","start":"07:10","end":"08:54","startHours":7.171282023685713,"endHours":8.906478796992015,"quality":"inauspicious"},{"name":"Śubha","start":"08:54","end":"10:39","startHours":8.906478796992015,"endHours":10.641675570298316,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:23","startHours":10.641675570298316,"endHours":12.376872343604617,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:07","startHours":12.376872343604617,"endHours":14.11206911691092,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:51","startHours":14.11206911691092,"endHours":15.847265890217223,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:35","startHours":15.847265890217223,"endHours":17.582462663523522,"quality":"auspicious"},{"name":"Amṛta","start":"17:35","end":"19:19","startHours":17.582462663523522,"endHours":19.317659436829825,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:19","end":"20:35","startHours":19.317659436829825,"endHours":20.582462663523522,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"21:51","startHours":20.582462663523522,"endHours":21.847265890217223,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:07","startHours":21.847265890217223,"endHours":23.11206911691092,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:23","startHours":23.11206911691092,"endHours":24.376872343604617,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:39","startHours":24.376872343604617,"endHours":25.641675570298315,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"02:54","startHours":25.641675570298315,"endHours":26.906478796992012,"quality":"inauspicious"},{"name":"Udveg","start":"02:54","end":"04:10","startHours":26.906478796992012,"endHours":28.171282023685713,"quality":"inauspicious"},{"name":"Chala","start":"04:10","end":"05:26","startHours":28.171282023685713,"endHours":29.43608525037941,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:26","end":"06:26","startHours":5.436085250379411,"endHours":6.436085250379411,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:26","end":"07:26","startHours":6.436085250379411,"endHours":7.436085250379411,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:26","end":"08:26","startHours":7.436085250379411,"endHours":8.43608525037941,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:26","end":"09:26","startHours":8.43608525037941,"endHours":9.43608525037941,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:26","end":"10:26","startHours":9.43608525037941,"endHours":10.43608525037941,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:26","end":"11:26","startHours":10.43608525037941,"endHours":11.43608525037941,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:26","end":"12:26","startHours":11.43608525037941,"endHours":12.43608525037941,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:26","end":"13:26","startHours":12.43608525037941,"endHours":13.43608525037941,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:26","end":"14:26","startHours":13.43608525037941,"endHours":14.43608525037941,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:26","end":"15:26","startHours":14.43608525037941,"endHours":15.43608525037941,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:26","end":"16:26","startHours":15.43608525037941,"endHours":16.43608525037941,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:26","end":"17:26","startHours":16.43608525037941,"endHours":17.43608525037941,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:26","end":"18:26","startHours":17.43608525037941,"endHours":18.43608525037941,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:26","end":"19:26","startHours":18.43608525037941,"endHours":19.43608525037941,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:26","end":"20:26","startHours":19.43608525037941,"endHours":20.43608525037941,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:26","end":"21:26","startHours":20.43608525037941,"endHours":21.43608525037941,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:26","end":"22:26","startHours":21.43608525037941,"endHours":22.43608525037941,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:26","end":"23:26","startHours":22.43608525037941,"endHours":23.43608525037941,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:26","end":"00:26","startHours":23.43608525037941,"endHours":24.43608525037941,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:26","end":"01:26","startHours":24.43608525037941,"endHours":25.43608525037941,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:26","end":"02:26","startHours":25.43608525037941,"endHours":26.43608525037941,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:26","end":"03:26","startHours":26.43608525037941,"endHours":27.43608525037941,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:26","end":"04:26","startHours":27.43608525037941,"endHours":28.43608525037941,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:26","end":"05:26","startHours":28.43608525037941,"endHours":29.43608525037941,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-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":21.290870532539646,"eotMinutes":-5.682740616276977,"ayanamsa":26.3889}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"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 Pañcamī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[],"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":[]},"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 July 16, 2181 CE · Ṛṣikeśa · Vidhyamitra","description":"July 16, 2181 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 05:26, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2181-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2181-07-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2181-07-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2181-07-16","x-default":"https://vidhyamitra.com/city/rishikesh/2181-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T15:16:50.075Z","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":"2026-05-29T15:16:50.075Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T15:16:50.075Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}