{"id":"vidhyamitra:city-day:rishikesh:2051-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2051-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-08-07","date_display":"August 7, 2051 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":2051,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470390.770833,"kali_year":5153,"ahargana":1881925.2708,"sun":{"sidereal_longitude":109.2771,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":116.1006,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":6.8236,"elapsed_within_tithi_degrees":6.8236},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":116.1006,"elapsed_within_degrees":9.434},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.3777},"karana":{"half_tithi_index":1,"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":2051,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470390.770833,"ahargana":1881925.2708,"kali_year":5153,"ayanamsa_lahiri":24.5738,"grahas":{"sun":{"sidereal_longitude":109.96756299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":114.802863,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":-4.2399},"mars":{"sidereal_longitude":120.56136300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":109.578663,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":133.965463,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":109.758263,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":292.19026299999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":186.5427,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":6.5427,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470390.770833,"kali_year":5153,"ahargana":1881925.2708,"sun":{"sidereal_longitude":109.2771,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":116.1006,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":6.8236,"elapsed_within_tithi_degrees":6.8236},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":116.1006,"elapsed_within_degrees":9.434},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.3777},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.24,"elongation":6.824},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.24,"opposition_distance":173.176}},"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":"05:39","sunsetLocal":"19:06","solarNoonLocal":"12:22","dayLengthHours":13.45094393365003,"dayLengthDisplay":"13 Hours 27 Mins 03 Secs","nightLengthDisplay":"10 Hours 32 Mins 57 Secs","moonriseLocal":"06:03","moonsetLocal":"19:20","rahuKala":{"name":"Rāhu Kāla","start":"07:20","end":"09:01","startHours":7.329320955133332,"endHours":9.010688946839586,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:22","startHours":10.69205693854584,"endHours":12.373424930252092,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:03","end":"15:44","startHours":14.054792921958345,"endHours":15.736160913664602,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.786506547945418,"endHours":9.234871345733753,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:34","startHours":6.208408960662496,"endHours":6.567100798893163,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:49","startHours":11.925060132463758,"endHours":12.821789728040427,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:51","end":"04:45","startHours":3.8544937722737402,"endHours":4.751223367850409,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:39","startHours":4.527040968956242,"endHours":5.647952963427078,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:31","startHours":14.615248919193764,"endHours":15.511978514770433,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.89889689707711,"endHours":19.298896897077107,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:40","startHours":19.098896897077108,"endHours":19.659352894312526,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.848896897077108,"endHours":20.598896897077108,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:49","startHours":23.92506013246376,"endHours":24.821789728040425,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:39","end":"07:20","startHours":5.647952963427078,"endHours":7.329320955133332,"quality":"auspicious"},{"name":"Kāla","start":"07:20","end":"09:01","startHours":7.329320955133332,"endHours":9.010688946839586,"quality":"inauspicious"},{"name":"Śubha","start":"09:01","end":"10:42","startHours":9.010688946839586,"endHours":10.69205693854584,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:22","startHours":10.69205693854584,"endHours":12.373424930252092,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"14:03","startHours":12.373424930252092,"endHours":14.054792921958345,"quality":"inauspicious"},{"name":"Chala","start":"14:03","end":"15:44","startHours":14.054792921958345,"endHours":15.736160913664602,"quality":"neutral"},{"name":"Labha","start":"15:44","end":"17:25","startHours":15.736160913664602,"endHours":17.417528905370855,"quality":"auspicious"},{"name":"Amṛta","start":"17:25","end":"19:06","startHours":17.417528905370855,"endHours":19.098896897077108,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:06","end":"20:25","startHours":19.098896897077108,"endHours":20.417528905370855,"quality":"neutral"},{"name":"Labha","start":"20:25","end":"21:44","startHours":20.417528905370855,"endHours":21.736160913664598,"quality":"auspicious"},{"name":"Amṛta","start":"21:44","end":"23:03","startHours":21.736160913664598,"endHours":23.054792921958345,"quality":"auspicious"},{"name":"Kāla","start":"23:03","end":"00:22","startHours":23.054792921958345,"endHours":24.373424930252092,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"01:42","startHours":24.373424930252092,"endHours":25.69205693854584,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"03:01","startHours":25.69205693854584,"endHours":27.010688946839586,"quality":"inauspicious"},{"name":"Udveg","start":"03:01","end":"04:20","startHours":27.010688946839586,"endHours":28.32932095513333,"quality":"inauspicious"},{"name":"Chala","start":"04:20","end":"05:39","startHours":28.32932095513333,"endHours":29.647952963427077,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.647952963427078,"endHours":6.647952963427078,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.647952963427078,"endHours":7.647952963427078,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.647952963427078,"endHours":8.647952963427077,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.647952963427077,"endHours":9.647952963427077,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.647952963427077,"endHours":10.647952963427077,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.647952963427077,"endHours":11.647952963427077,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.647952963427077,"endHours":12.647952963427077,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.647952963427077,"endHours":13.647952963427077,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.647952963427077,"endHours":14.647952963427077,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.647952963427077,"endHours":15.647952963427077,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.647952963427077,"endHours":16.647952963427077,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.647952963427077,"endHours":17.647952963427077,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.647952963427077,"endHours":18.647952963427077,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.647952963427077,"endHours":19.647952963427077,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.647952963427077,"endHours":20.647952963427077,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.647952963427077,"endHours":21.647952963427077,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.647952963427077,"endHours":22.647952963427077,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.647952963427077,"endHours":23.647952963427077,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.647952963427077,"endHours":24.647952963427077,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.647952963427077,"endHours":25.647952963427077,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.647952963427077,"endHours":26.647952963427077,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.647952963427077,"endHours":27.647952963427077,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.647952963427077,"endHours":28.647952963427077,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.647952963427077,"endHours":29.647952963427077,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.46810367546127,"eotMinutes":-5.475895815125568,"ayanamsa":24.5738}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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 Śukla Pratipada · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"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 August 7, 2051 CE · Ṛṣikeśa · Vidhyamitra","description":"August 7, 2051 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:39, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2051-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2051-08-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2051-08-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2051-08-07","x-default":"https://vidhyamitra.com/city/rishikesh/2051-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:44:46.098Z","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":"2026-05-31T00:44:46.098Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:44:46.098Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}