{"id":"vidhyamitra:city-day:rishikesh:2107-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2107-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-08-13","date_display":"August 13, 2107 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":2107,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490849.770833,"kali_year":5209,"ahargana":1902384.2708,"sun":{"sidereal_longitude":113.5752,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":40.441,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.8658,"elapsed_within_tithi_degrees":10.8658},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.441,"elapsed_within_degrees":0.441},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.0161},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2107,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490849.770833,"ahargana":1902384.2708,"kali_year":5209,"ayanamsa_lahiri":25.3563,"grahas":{"sun":{"sidereal_longitude":114.42617899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":37.66757899999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-2.7634},"mars":{"sidereal_longitude":78.83297900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":130.06117900000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":49.664878999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":119.12117899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":255.53537899999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":182.5264,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.5264,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"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":2107,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490849.770833,"kali_year":5209,"ahargana":1902384.2708,"sun":{"sidereal_longitude":113.5752,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":40.441,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.8658,"elapsed_within_tithi_degrees":10.8658},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.441,"elapsed_within_degrees":0.441},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.0161},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.763,"elongation":73.134},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.763,"opposition_distance":106.866}},"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":"05:42","sunsetLocal":"19:01","solarNoonLocal":"12:21","dayLengthHours":13.315422719934416,"dayLengthDisplay":"13 Hours 18 Mins 56 Secs","nightLengthDisplay":"10 Hours 41 Mins 04 Secs","moonriseLocal":"00:21","moonsetLocal":"14:08","rahuKala":{"name":"Rāhu Kāla","start":"09:02","end":"10:42","startHours":9.029329665653323,"endHours":10.693757505645124,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:01","end":"15:41","startHours":14.022613185628728,"endHours":15.68704102562053,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:42","end":"07:22","startHours":5.700473985669719,"endHours":7.364901825661521,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.807405953654417,"endHours":9.25125337765223,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.255283265666986,"endHours":6.610361204865237,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:48","startHours":11.914337921639111,"endHours":12.80203276963474,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:49","startHours":3.9250842896784635,"endHours":4.812779137674092,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:42","startHours":4.590855425675184,"endHours":5.700473985669719,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:28","startHours":14.577422465625995,"endHours":15.465117313621622,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.815896705604136,"endHours":19.215896705604134,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:34","startHours":19.015896705604135,"endHours":19.570705985601403,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.765896705604135,"endHours":20.515896705604135,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:48","startHours":23.914337921639113,"endHours":24.80203276963474,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:42","end":"07:22","startHours":5.700473985669719,"endHours":7.364901825661521,"quality":"inauspicious"},{"name":"Śubha","start":"07:22","end":"09:02","startHours":7.364901825661521,"endHours":9.029329665653323,"quality":"auspicious"},{"name":"Roga","start":"09:02","end":"10:42","startHours":9.029329665653323,"endHours":10.693757505645124,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:21","startHours":10.693757505645124,"endHours":12.358185345636926,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"14:01","startHours":12.358185345636926,"endHours":14.022613185628728,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"15:41","startHours":14.022613185628728,"endHours":15.68704102562053,"quality":"auspicious"},{"name":"Amṛta","start":"15:41","end":"17:21","startHours":15.68704102562053,"endHours":17.351468865612333,"quality":"auspicious"},{"name":"Kāla","start":"17:21","end":"19:01","startHours":17.351468865612333,"endHours":19.015896705604135,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:01","end":"20:21","startHours":19.015896705604135,"endHours":20.351468865612333,"quality":"auspicious"},{"name":"Amṛta","start":"20:21","end":"21:41","startHours":20.351468865612333,"endHours":21.68704102562053,"quality":"auspicious"},{"name":"Kāla","start":"21:41","end":"23:01","startHours":21.68704102562053,"endHours":23.022613185628728,"quality":"inauspicious"},{"name":"Śubha","start":"23:01","end":"00:21","startHours":23.022613185628728,"endHours":24.358185345636926,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"01:42","startHours":24.358185345636926,"endHours":25.693757505645124,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:02","startHours":25.693757505645124,"endHours":27.02932966565332,"quality":"inauspicious"},{"name":"Chala","start":"03:02","end":"04:22","startHours":27.02932966565332,"endHours":28.36490182566152,"quality":"neutral"},{"name":"Labha","start":"04:22","end":"05:42","startHours":28.36490182566152,"endHours":29.700473985669717,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.700473985669719,"endHours":6.700473985669719,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.700473985669719,"endHours":7.700473985669719,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.700473985669719,"endHours":8.700473985669719,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.700473985669719,"endHours":9.700473985669719,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.700473985669719,"endHours":10.700473985669719,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.700473985669719,"endHours":11.700473985669719,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.700473985669719,"endHours":12.700473985669719,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.700473985669719,"endHours":13.700473985669719,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.700473985669719,"endHours":14.700473985669719,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.700473985669719,"endHours":15.700473985669719,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.700473985669719,"endHours":16.700473985669717,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.700473985669717,"endHours":17.700473985669717,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.700473985669717,"endHours":18.700473985669717,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.700473985669717,"endHours":19.700473985669717,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.700473985669717,"endHours":20.700473985669717,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.700473985669717,"endHours":21.700473985669717,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.700473985669717,"endHours":22.700473985669717,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.700473985669717,"endHours":23.700473985669717,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.700473985669717,"endHours":24.700473985669717,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.700473985669717,"endHours":25.700473985669717,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.700473985669717,"endHours":26.700473985669717,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.700473985669717,"endHours":27.700473985669717,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.700473985669717,"endHours":28.700473985669717,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.700473985669717,"endHours":29.700473985669717,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Dhātṛ","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":14.881002595199432,"eotMinutes":-4.561520738215509,"ayanamsa":25.3563}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"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":"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 August 13, 2107 CE · Ṛṣikeśa · Vidhyamitra","description":"August 13, 2107 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 05:42, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2107-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2107-08-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2107-08-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2107-08-13","x-default":"https://vidhyamitra.com/city/rishikesh/2107-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T10:32:50.154Z","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":"2026-05-21T10:32:50.154Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T10:32:50.154Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}