{"id":"vidhyamitra:city-day:rishikesh:2085-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2085-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-07-13","date_display":"July 13, 2085 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":2085,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482784.770833,"kali_year":5187,"ahargana":1894319.2708,"sun":{"sidereal_longitude":85.7418,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":340.0518,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.31,"elapsed_within_tithi_degrees":2.31},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.0518,"elapsed_within_degrees":6.7184},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.7936},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2085,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482784.770833,"ahargana":1894319.2708,"kali_year":5187,"ayanamsa_lahiri":25.0478,"grahas":{"sun":{"sidereal_longitude":86.35892100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":343.669121,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":4.5},"mars":{"sidereal_longitude":119.28442100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":90.811421,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":89.83162100000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":117.80252100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":351.196821,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":249.8489,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.8489,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2085,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482784.770833,"kali_year":5187,"ahargana":1894319.2708,"sun":{"sidereal_longitude":85.7418,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":340.0518,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.31,"elapsed_within_tithi_degrees":2.31},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.0518,"elapsed_within_degrees":6.7184},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.7936},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":105.69},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":74.31}},"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":"05:25","sunsetLocal":"19:20","solarNoonLocal":"12:22","dayLengthHours":13.922794306145832,"dayLengthDisplay":"13 Hours 55 Mins 22 Secs","nightLengthDisplay":"10 Hours 04 Mins 38 Secs","moonriseLocal":"23:21","moonsetLocal":"11:42","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:22","startHours":10.631167859167782,"endHours":12.371517147436013,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:51","end":"17:36","startHours":15.85221572397247,"endHours":17.592565012240698,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:09","end":"08:53","startHours":7.150469282631325,"endHours":8.890818570899555,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.658771999130456,"endHours":9.122865142668651,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:22","startHours":5.990236423785839,"endHours":6.361510938616394,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:50","startHours":11.907424003897818,"endHours":12.835610290974207,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:29","startHours":3.553747420210318,"endHours":4.481933707286707,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:25","startHours":4.24988713551761,"endHours":5.410119994363096,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.691982865126985,"endHours":15.620169152203374,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.13291430050893,"endHours":19.532914300508928,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.33291430050893,"endHours":19.91303072993167,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.08291430050893,"endHours":20.83291430050893,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:50","startHours":23.90742400389782,"endHours":24.835610290974206,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:25","end":"07:09","startHours":5.410119994363096,"endHours":7.150469282631325,"quality":"neutral"},{"name":"Labha","start":"07:09","end":"08:53","startHours":7.150469282631325,"endHours":8.890818570899555,"quality":"auspicious"},{"name":"Amṛta","start":"08:53","end":"10:38","startHours":8.890818570899555,"endHours":10.631167859167782,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:22","startHours":10.631167859167782,"endHours":12.371517147436013,"quality":"inauspicious"},{"name":"Śubha","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.11186643570424,"quality":"auspicious"},{"name":"Roga","start":"14:07","end":"15:51","startHours":14.11186643570424,"endHours":15.85221572397247,"quality":"inauspicious"},{"name":"Udveg","start":"15:51","end":"17:36","startHours":15.85221572397247,"endHours":17.592565012240698,"quality":"inauspicious"},{"name":"Chala","start":"17:36","end":"19:20","startHours":17.592565012240698,"endHours":19.33291430050893,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:20","end":"20:36","startHours":19.33291430050893,"endHours":20.592565012240698,"quality":"inauspicious"},{"name":"Udveg","start":"20:36","end":"21:51","startHours":20.592565012240698,"endHours":21.85221572397247,"quality":"inauspicious"},{"name":"Chala","start":"21:51","end":"23:07","startHours":21.85221572397247,"endHours":23.111866435704243,"quality":"neutral"},{"name":"Labha","start":"23:07","end":"00:22","startHours":23.111866435704243,"endHours":24.371517147436013,"quality":"auspicious"},{"name":"Amṛta","start":"00:22","end":"01:38","startHours":24.371517147436013,"endHours":25.631167859167782,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"02:53","startHours":25.631167859167782,"endHours":26.890818570899555,"quality":"inauspicious"},{"name":"Śubha","start":"02:53","end":"04:09","startHours":26.890818570899555,"endHours":28.150469282631327,"quality":"auspicious"},{"name":"Roga","start":"04:09","end":"05:25","startHours":28.150469282631327,"endHours":29.410119994363097,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.410119994363096,"endHours":6.410119994363096,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.410119994363096,"endHours":7.410119994363096,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.410119994363096,"endHours":8.410119994363097,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.410119994363097,"endHours":9.410119994363097,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.410119994363097,"endHours":10.410119994363097,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.410119994363097,"endHours":11.410119994363097,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.410119994363097,"endHours":12.410119994363097,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.410119994363097,"endHours":13.410119994363097,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.410119994363097,"endHours":14.410119994363097,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.410119994363097,"endHours":15.410119994363097,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.410119994363097,"endHours":16.410119994363097,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.410119994363097,"endHours":17.410119994363097,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.410119994363097,"endHours":18.410119994363097,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.410119994363097,"endHours":19.410119994363097,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.410119994363097,"endHours":20.410119994363097,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.410119994363097,"endHours":21.410119994363097,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.410119994363097,"endHours":22.410119994363097,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.410119994363097,"endHours":23.410119994363097,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.410119994363097,"endHours":24.410119994363097,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.410119994363097,"endHours":25.410119994363097,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.410119994363097,"endHours":26.410119994363097,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.410119994363097,"endHours":27.410119994363097,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.410119994363097,"endHours":28.410119994363097,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.410119994363097,"endHours":29.410119994363097,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"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":21.733756028319405,"eotMinutes":-5.361428846160681,"ayanamsa":25.0478}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Saptamī · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 13, 2085 CE · Ṛṣikeśa · Vidhyamitra","description":"July 13, 2085 CE for Ṛṣikeśa: Kṛṣṇa Saptamī, sūryodaya 05:25, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2085-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2085-07-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2085-07-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2085-07-13","x-default":"https://vidhyamitra.com/city/rishikesh/2085-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T15:19:05.964Z","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":"2026-05-19T15:19:05.964Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T15:19:05.964Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}