{"id":"vidhyamitra:city-day:rishikesh:2122-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2122-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2122-07-13","date_display":"July 13, 2122 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":2122,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496297.770833,"kali_year":5224,"ahargana":1907832.2708,"sun":{"sidereal_longitude":84.2515,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":188.8347,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.5832,"elapsed_within_tithi_degrees":8.5832},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.8347,"elapsed_within_degrees":2.168},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.0862},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2122,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496297.770833,"ahargana":1907832.2708,"kali_year":5224,"ayanamsa_lahiri":25.5646,"grahas":{"sun":{"sidereal_longitude":84.94802500000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":189.58482500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":-4.0786},"mars":{"sidereal_longitude":52.50482499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":100.66312499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":123.87032499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":128.661425,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":85.026025,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":253.8652,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":73.8652,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"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":2122,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496297.770833,"kali_year":5224,"ahargana":1907832.2708,"sun":{"sidereal_longitude":84.2515,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":188.8347,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.5832,"elapsed_within_tithi_degrees":8.5832},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.8347,"elapsed_within_degrees":2.168},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.0862},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.079,"elongation":104.583},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.079,"opposition_distance":75.417}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":-0.224,"elongation":1.465}]},"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":"19:20","solarNoonLocal":"12:22","dayLengthHours":13.935610124050632,"dayLengthDisplay":"13 Hours 56 Mins 08 Secs","nightLengthDisplay":"10 Hours 03 Mins 52 Secs","moonriseLocal":"13:49","moonsetLocal":"00:52","rahuKala":{"name":"Rāhu Kāla","start":"07:09","end":"08:53","startHours":7.145663350917027,"endHours":8.887614616423356,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:22","startHours":10.629565881929684,"endHours":12.371517147436013,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:51","startHours":14.113468412942343,"endHours":15.855419678448671,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.655354447689177,"endHours":9.119874785157533,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.984362507246141,"endHours":6.355978777220825,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:50","startHours":11.906996809967659,"endHours":12.836037484904367,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.54563073553728,"endHours":4.474671410473989,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.242411241739812,"endHours":5.403712085410698,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.694118834777784,"endHours":15.623159509714492,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.13932220946133,"endHours":19.53932220946133,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.33932220946133,"endHours":19.919972631296773,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.08932220946133,"endHours":20.83932220946133,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:50","startHours":23.90699680996766,"endHours":24.836037484904367,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:24","end":"07:09","startHours":5.403712085410698,"endHours":7.145663350917027,"quality":"auspicious"},{"name":"Kāla","start":"07:09","end":"08:53","startHours":7.145663350917027,"endHours":8.887614616423356,"quality":"inauspicious"},{"name":"Śubha","start":"08:53","end":"10:38","startHours":8.887614616423356,"endHours":10.629565881929684,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:22","startHours":10.629565881929684,"endHours":12.371517147436013,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.113468412942343,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:51","startHours":14.113468412942343,"endHours":15.855419678448671,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:36","startHours":15.855419678448671,"endHours":17.597370943955,"quality":"auspicious"},{"name":"Amṛta","start":"17:36","end":"19:20","startHours":17.597370943955,"endHours":19.33932220946133,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:20","end":"20:36","startHours":19.33932220946133,"endHours":20.597370943955,"quality":"neutral"},{"name":"Labha","start":"20:36","end":"21:51","startHours":20.597370943955,"endHours":21.855419678448673,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:07","startHours":21.855419678448673,"endHours":23.113468412942343,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:22","startHours":23.113468412942343,"endHours":24.371517147436013,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"01:38","startHours":24.371517147436013,"endHours":25.629565881929686,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"02:53","startHours":25.629565881929686,"endHours":26.887614616423356,"quality":"inauspicious"},{"name":"Udveg","start":"02:53","end":"04:09","startHours":26.887614616423356,"endHours":28.145663350917026,"quality":"inauspicious"},{"name":"Chala","start":"04:09","end":"05:24","startHours":28.145663350917026,"endHours":29.403712085410696,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.403712085410698,"endHours":6.403712085410698,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.403712085410698,"endHours":7.403712085410698,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.403712085410698,"endHours":8.403712085410698,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.403712085410698,"endHours":9.403712085410698,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.403712085410698,"endHours":10.403712085410698,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.403712085410698,"endHours":11.403712085410698,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.403712085410698,"endHours":12.403712085410698,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.403712085410698,"endHours":13.403712085410698,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.403712085410698,"endHours":14.403712085410698,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.403712085410698,"endHours":15.403712085410698,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.403712085410698,"endHours":16.403712085410696,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.403712085410696,"endHours":17.403712085410696,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.403712085410696,"endHours":18.403712085410696,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.403712085410696,"endHours":19.403712085410696,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.403712085410696,"endHours":20.403712085410696,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.403712085410696,"endHours":21.403712085410696,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.403712085410696,"endHours":22.403712085410696,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.403712085410696,"endHours":23.403712085410696,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.403712085410696,"endHours":24.403712085410696,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.403712085410696,"endHours":25.403712085410696,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.403712085410696,"endHours":26.403712085410696,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.403712085410696,"endHours":27.403712085410696,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.403712085410696,"endHours":28.403712085410696,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.403712085410696,"endHours":29.403712085410696,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","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":21.870760414523442,"eotMinutes":-5.361428846160681,"ayanamsa":25.5646}},"calendars":{"vikram_samvat":2179,"vikram_samvatsara":"Manmatha","saka_samvat":2044,"saka_samvatsara":"Citrabhānu","bengali_samvat":1529,"malayalam_era":1298,"nanakshahi_year":653,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Navamī · Vikram 2179 Manmatha · Śaka 2044 Citrabhānu"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","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 13, 2122 CE · Ṛṣikeśa · Vidhyamitra","description":"July 13, 2122 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 05:24, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2122-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2122-07-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2122-07-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2122-07-13","x-default":"https://vidhyamitra.com/city/rishikesh/2122-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T18:03:12.122Z","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":"2026-05-22T18:03:12.122Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T18:03:12.122Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}