{"id":"vidhyamitra:city-day:rishikesh:2087-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2087-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-07-29","date_display":"July 29, 2087 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":2087,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483530.770833,"kali_year":5189,"ahargana":1895065.2708,"sun":{"sidereal_longitude":100.4196,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.9623,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.5427,"elapsed_within_tithi_degrees":4.5427},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.9623,"elapsed_within_degrees":12.9623},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.3819},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2087,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483530.770833,"ahargana":1895065.2708,"kali_year":5189,"ayanamsa_lahiri":25.0763,"grahas":{"sun":{"sidereal_longitude":101.14221900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":91.75331900000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-3.9957},"mars":{"sidereal_longitude":141.279519,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":99.41451899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":142.06081900000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":94.72861899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":17.318619000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":210.3223,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.3223,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2087,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483530.770833,"kali_year":5189,"ahargana":1895065.2708,"sun":{"sidereal_longitude":100.4196,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.9623,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.5427,"elapsed_within_tithi_degrees":4.5427},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.9623,"elapsed_within_degrees":12.9623},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.3819},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.996,"elongation":7.457},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.996,"opposition_distance":172.543}},"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":"05:34","sunsetLocal":"19:13","solarNoonLocal":"12:23","dayLengthHours":13.64780322728166,"dayLengthDisplay":"13 Hours 38 Mins 52 Secs","nightLengthDisplay":"10 Hours 21 Mins 08 Secs","moonriseLocal":"04:52","moonsetLocal":"18:39","rahuKala":{"name":"Rāhu Kāla","start":"15:48","end":"17:30","startHours":15.796571746912853,"endHours":17.50254715032306,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:58","end":"10:41","startHours":8.972670133272022,"endHours":10.678645536682229,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"14:05","startHours":12.384620940092436,"endHours":14.090596343502643,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.74520674615066,"endHours":9.200133520393383,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.129377794255009,"endHours":6.493319213649187,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.929694165849716,"endHours":12.83954771433516,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.741012229480719,"endHours":4.650865777966163,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:34","startHours":4.423402390844802,"endHours":5.560719326451607,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.659254811306045,"endHours":15.569108359791489,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.00852255373327,"endHours":19.408522553733267,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:47","startHours":19.208522553733268,"endHours":19.77718102153667,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.958522553733268,"endHours":20.708522553733268,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.929694165849718,"endHours":24.83954771433516,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:34","end":"07:16","startHours":5.560719326451607,"endHours":7.266694729861815,"quality":"inauspicious"},{"name":"Udveg","start":"07:16","end":"08:58","startHours":7.266694729861815,"endHours":8.972670133272022,"quality":"inauspicious"},{"name":"Chala","start":"08:58","end":"10:41","startHours":8.972670133272022,"endHours":10.678645536682229,"quality":"neutral"},{"name":"Labha","start":"10:41","end":"12:23","startHours":10.678645536682229,"endHours":12.384620940092436,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"14:05","startHours":12.384620940092436,"endHours":14.090596343502643,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:48","startHours":14.090596343502643,"endHours":15.796571746912853,"quality":"inauspicious"},{"name":"Śubha","start":"15:48","end":"17:30","startHours":15.796571746912853,"endHours":17.50254715032306,"quality":"auspicious"},{"name":"Roga","start":"17:30","end":"19:13","startHours":17.50254715032306,"endHours":19.208522553733268,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:13","end":"20:30","startHours":19.208522553733268,"endHours":20.50254715032306,"quality":"inauspicious"},{"name":"Śubha","start":"20:30","end":"21:48","startHours":20.50254715032306,"endHours":21.796571746912853,"quality":"auspicious"},{"name":"Roga","start":"21:48","end":"23:05","startHours":21.796571746912853,"endHours":23.090596343502646,"quality":"inauspicious"},{"name":"Udveg","start":"23:05","end":"00:23","startHours":23.090596343502646,"endHours":24.38462094009244,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"01:41","startHours":24.38462094009244,"endHours":25.678645536682232,"quality":"neutral"},{"name":"Labha","start":"01:41","end":"02:58","startHours":25.678645536682232,"endHours":26.972670133272022,"quality":"auspicious"},{"name":"Amṛta","start":"02:58","end":"04:16","startHours":26.972670133272022,"endHours":28.266694729861815,"quality":"auspicious"},{"name":"Kāla","start":"04:16","end":"05:34","startHours":28.266694729861815,"endHours":29.560719326451608,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.560719326451607,"endHours":6.560719326451607,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.560719326451607,"endHours":7.560719326451607,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.560719326451607,"endHours":8.560719326451608,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.560719326451608,"endHours":9.560719326451608,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.560719326451608,"endHours":10.560719326451608,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.560719326451608,"endHours":11.560719326451608,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.560719326451608,"endHours":12.560719326451608,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.560719326451608,"endHours":13.560719326451608,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.560719326451608,"endHours":14.560719326451608,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.560719326451608,"endHours":15.560719326451608,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.560719326451608,"endHours":16.560719326451608,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.560719326451608,"endHours":17.560719326451608,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.560719326451608,"endHours":18.560719326451608,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.560719326451608,"endHours":19.560719326451608,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.560719326451608,"endHours":20.560719326451608,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.560719326451608,"endHours":21.560719326451608,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.560719326451608,"endHours":22.560719326451608,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.560719326451608,"endHours":23.560719326451608,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.560719326451608,"endHours":24.560719326451608,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.560719326451608,"endHours":25.560719326451608,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.560719326451608,"endHours":26.560719326451608,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.560719326451608,"endHours":27.560719326451608,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.560719326451608,"endHours":28.560719326451608,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.560719326451608,"endHours":29.560719326451608,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.716053258213922,"eotMinutes":-6.147656405546237,"ayanamsa":25.0763}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Amāvasyā · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 29, 2087 CE · Ṛṣikeśa · Vidhyamitra","description":"July 29, 2087 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 05:34, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2087-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2087-07-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2087-07-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2087-07-29","x-default":"https://vidhyamitra.com/city/rishikesh/2087-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T14:33:44.781Z","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":"2026-05-19T14:33:44.781Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T14:33:44.781Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}