{"id":"vidhyamitra:city-day:rishikesh:2077-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2077-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2077-07-31","date_display":"July 31, 2077 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":2077,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479880.770833,"kali_year":5179,"ahargana":1891415.2708,"sun":{"sidereal_longitude":102.8775,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":227.9239,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.0464,"elapsed_within_tithi_degrees":5.0464},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.9239,"elapsed_within_degrees":1.2572},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8014},"karana":{"half_tithi_index":20,"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":2077,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479880.770833,"ahargana":1891415.2708,"kali_year":5179,"ayanamsa_lahiri":24.9367,"grahas":{"sun":{"sidereal_longitude":103.59227599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":227.13737600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-0.3298},"mars":{"sidereal_longitude":82.041676,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":121.49897599999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":190.13037599999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":138.814076,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":250.06807600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":43.7168,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.7168,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2077,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479880.770833,"kali_year":5179,"ahargana":1891415.2708,"sun":{"sidereal_longitude":102.8775,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":227.9239,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.0464,"elapsed_within_tithi_degrees":5.0464},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.9239,"elapsed_within_degrees":1.2572},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8014},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.33,"elongation":125.046},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.33,"opposition_distance":54.954}},"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":"05:35","sunsetLocal":"19:11","solarNoonLocal":"12:23","dayLengthHours":13.595716905924633,"dayLengthDisplay":"13 Hours 35 Mins 45 Secs","nightLengthDisplay":"10 Hours 24 Mins 15 Secs","moonriseLocal":"15:29","moonsetLocal":"01:45","rahuKala":{"name":"Rāhu Kāla","start":"08:59","end":"10:41","startHours":8.98442034872469,"endHours":10.68388496196527,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:05","end":"15:47","startHours":14.082814188446427,"endHours":15.782278801687006,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:35","end":"07:17","startHours":5.585491122243533,"endHours":7.284955735484112,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.757825066959281,"endHours":9.211015630490103,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.1519793266570595,"endHours":6.514531777481716,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.930159011675027,"endHours":12.83654013873667,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:41","startHours":3.7727288681202484,"endHours":4.679109995181891,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:35","startHours":4.45251471341648,"endHours":5.585491122243533,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.649302392859955,"endHours":15.555683519921597,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.981208028168165,"endHours":19.381208028168164,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.181208028168165,"endHours":19.747696232581692,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.931208028168165,"endHours":20.681208028168165,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.930159011675027,"endHours":24.83654013873667,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:35","end":"07:17","startHours":5.585491122243533,"endHours":7.284955735484112,"quality":"inauspicious"},{"name":"Śubha","start":"07:17","end":"08:59","startHours":7.284955735484112,"endHours":8.98442034872469,"quality":"auspicious"},{"name":"Roga","start":"08:59","end":"10:41","startHours":8.98442034872469,"endHours":10.68388496196527,"quality":"inauspicious"},{"name":"Udveg","start":"10:41","end":"12:23","startHours":10.68388496196527,"endHours":12.383349575205848,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:05","startHours":12.383349575205848,"endHours":14.082814188446427,"quality":"neutral"},{"name":"Labha","start":"14:05","end":"15:47","startHours":14.082814188446427,"endHours":15.782278801687006,"quality":"auspicious"},{"name":"Amṛta","start":"15:47","end":"17:29","startHours":15.782278801687006,"endHours":17.481743414927585,"quality":"auspicious"},{"name":"Kāla","start":"17:29","end":"19:11","startHours":17.481743414927585,"endHours":19.181208028168165,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:11","end":"20:29","startHours":19.181208028168165,"endHours":20.481743414927585,"quality":"auspicious"},{"name":"Amṛta","start":"20:29","end":"21:47","startHours":20.481743414927585,"endHours":21.782278801687006,"quality":"auspicious"},{"name":"Kāla","start":"21:47","end":"23:05","startHours":21.782278801687006,"endHours":23.082814188446427,"quality":"inauspicious"},{"name":"Śubha","start":"23:05","end":"00:23","startHours":23.082814188446427,"endHours":24.38334957520585,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:41","startHours":24.38334957520585,"endHours":25.68388496196527,"quality":"inauspicious"},{"name":"Udveg","start":"01:41","end":"02:59","startHours":25.68388496196527,"endHours":26.98442034872469,"quality":"inauspicious"},{"name":"Chala","start":"02:59","end":"04:17","startHours":26.98442034872469,"endHours":28.28495573548411,"quality":"neutral"},{"name":"Labha","start":"04:17","end":"05:35","startHours":28.28495573548411,"endHours":29.585491122243532,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.585491122243533,"endHours":6.585491122243533,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.585491122243533,"endHours":7.585491122243533,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.585491122243533,"endHours":8.585491122243532,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.585491122243532,"endHours":9.585491122243532,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.585491122243532,"endHours":10.585491122243532,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.585491122243532,"endHours":11.585491122243532,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.585491122243532,"endHours":12.585491122243532,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.585491122243532,"endHours":13.585491122243532,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.585491122243532,"endHours":14.585491122243532,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.585491122243532,"endHours":15.585491122243532,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.585491122243532,"endHours":16.585491122243532,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.585491122243532,"endHours":17.585491122243532,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.585491122243532,"endHours":18.585491122243532,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.585491122243532,"endHours":19.585491122243532,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.585491122243532,"endHours":20.585491122243532,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.585491122243532,"endHours":21.585491122243532,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.585491122243532,"endHours":22.585491122243532,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.585491122243532,"endHours":23.585491122243532,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.585491122243532,"endHours":24.585491122243532,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.585491122243532,"endHours":25.585491122243532,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.585491122243532,"endHours":26.585491122243532,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.585491122243532,"endHours":27.585491122243532,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.585491122243532,"endHours":28.585491122243532,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.585491122243532,"endHours":29.585491122243532,"planetary_lord":"Mercury"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","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":18.12815140868181,"eotMinutes":-6.071374512350812,"ayanamsa":24.9367}},"calendars":{"vikram_samvat":2134,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1999,"saka_samvatsara":"Hemalambī","bengali_samvat":1484,"malayalam_era":1253,"nanakshahi_year":608,"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 Ekādaśī · Vikram 2134 Sādhāraṇa · Śaka 1999 Hemalambī"},"festivals":[{"id":"pavitropana-ekadashi","name":"Pavitropanā Ekādaśī (Putradā)","name_sanskrit":"पवित्रोपना एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Confers son; pavitra (sacred thread) ceremony for Viṣṇu.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 July 31, 2077 CE · Ṛṣikeśa · Vidhyamitra","description":"July 31, 2077 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 05:35, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2077-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2077-07-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2077-07-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2077-07-31","x-default":"https://vidhyamitra.com/city/rishikesh/2077-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:00:10.499Z","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":"2026-05-31T20:00:10.499Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:00:10.499Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}