{"id":"vidhyamitra:city-day:rishikesh:2107-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2107-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-07-13","date_display":"July 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":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490818.770833,"kali_year":5209,"ahargana":1902353.2708,"sun":{"sidereal_longitude":84.1392,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":353.3615,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.2223,"elapsed_within_tithi_degrees":5.2223},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3615,"elapsed_within_degrees":6.6948},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.5006},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490818.770833,"ahargana":1902353.2708,"kali_year":5209,"ayanamsa_lahiri":25.3551,"grahas":{"sun":{"sidereal_longitude":84.797864,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":350.418564,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":0.843},"mars":{"sidereal_longitude":58.02326399999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":68.56316400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":43.955264,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":80.92186400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":257.515264,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":184.1689,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":4.1689,"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":2107,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490818.770833,"kali_year":5209,"ahargana":1902353.2708,"sun":{"sidereal_longitude":84.1392,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":353.3615,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.2223,"elapsed_within_tithi_degrees":5.2223},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3615,"elapsed_within_degrees":6.6948},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.5006},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.843,"elongation":90.778},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.843,"opposition_distance":89.222}},"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":"05:24","sunsetLocal":"19:21","solarNoonLocal":"12:22","dayLengthHours":13.940629692199835,"dayLengthDisplay":"13 Hours 56 Mins 26 Secs","nightLengthDisplay":"10 Hours 03 Mins 34 Secs","moonriseLocal":"23:48","moonsetLocal":"12:22","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.11409585896099,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:53","startHours":7.143781012861074,"endHours":8.886359724386054,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:22","startHours":10.628938435911031,"endHours":12.371517147436013,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.654015896182722,"endHours":9.118703552589384,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.9820618718444205,"endHours":6.35381199696975,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:50","startHours":11.90682949102935,"endHours":12.836204803842675,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.54245167570945,"endHours":4.471826988522772,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:24","startHours":4.239483160319441,"endHours":5.401202301336094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.694955429469317,"endHours":15.62433074228264,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:09","end":"19:33","startHours":19.14183199353593,"endHours":19.54183199353593,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:21","end":"19:55","startHours":19.34183199353593,"endHours":19.922691564044257,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:06","end":"20:51","startHours":19.09183199353593,"endHours":20.84183199353593,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:50","startHours":23.906829491029352,"endHours":24.836204803842673,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:24","end":"07:09","startHours":5.401202301336094,"endHours":7.143781012861074,"quality":"auspicious"},{"name":"Amṛta","start":"07:09","end":"08:53","startHours":7.143781012861074,"endHours":8.886359724386054,"quality":"auspicious"},{"name":"Kāla","start":"08:53","end":"10:38","startHours":8.886359724386054,"endHours":10.628938435911031,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:22","startHours":10.628938435911031,"endHours":12.371517147436013,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.11409585896099,"quality":"inauspicious"},{"name":"Udveg","start":"14:07","end":"15:51","startHours":14.11409585896099,"endHours":15.856674570485971,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:36","startHours":15.856674570485971,"endHours":17.59925328201095,"quality":"neutral"},{"name":"Labha","start":"17:36","end":"19:21","startHours":17.59925328201095,"endHours":19.34183199353593,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:21","end":"20:36","startHours":19.34183199353593,"endHours":20.59925328201095,"quality":"inauspicious"},{"name":"Chala","start":"20:36","end":"21:51","startHours":20.59925328201095,"endHours":21.85667457048597,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:07","startHours":21.85667457048597,"endHours":23.114095858960994,"quality":"auspicious"},{"name":"Amṛta","start":"23:07","end":"00:22","startHours":23.114095858960994,"endHours":24.371517147436013,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"01:38","startHours":24.371517147436013,"endHours":25.62893843591103,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"02:53","startHours":25.62893843591103,"endHours":26.886359724386054,"quality":"auspicious"},{"name":"Roga","start":"02:53","end":"04:09","startHours":26.886359724386054,"endHours":28.143781012861076,"quality":"inauspicious"},{"name":"Udveg","start":"04:09","end":"05:24","startHours":28.143781012861076,"endHours":29.401202301336095,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.401202301336094,"endHours":6.401202301336094,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.401202301336094,"endHours":7.401202301336094,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.401202301336094,"endHours":8.401202301336095,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.401202301336095,"endHours":9.401202301336095,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.401202301336095,"endHours":10.401202301336095,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.401202301336095,"endHours":11.401202301336095,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.401202301336095,"endHours":12.401202301336095,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.401202301336095,"endHours":13.401202301336095,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.401202301336095,"endHours":14.401202301336095,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.401202301336095,"endHours":15.401202301336095,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.401202301336095,"endHours":16.401202301336095,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.401202301336095,"endHours":17.401202301336095,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.401202301336095,"endHours":18.401202301336095,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.401202301336095,"endHours":19.401202301336095,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.401202301336095,"endHours":20.401202301336095,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.401202301336095,"endHours":21.401202301336095,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.401202301336095,"endHours":22.401202301336095,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.401202301336095,"endHours":23.401202301336095,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.401202301336095,"endHours":24.401202301336095,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.401202301336095,"endHours":25.401202301336095,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.401202301336095,"endHours":26.401202301336095,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.401202301336095,"endHours":27.401202301336095,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.401202301336095,"endHours":28.401202301336095,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.401202301336095,"endHours":29.401202301336095,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.924330853572332,"eotMinutes":-5.361428846160681,"ayanamsa":25.3551}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Aṣṭamī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 Kṛṣṇa Aṣṭamī","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 July 13, 2107 CE · Ṛṣikeśa · Vidhyamitra","description":"July 13, 2107 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 05:24, sūryāsta 19:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2107-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2107-07-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2107-07-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2107-07-13","x-default":"https://vidhyamitra.com/city/rishikesh/2107-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T16:38:07.669Z","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":"2026-05-21T16:38:07.669Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T16:38:07.669Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}