{"id":"vidhyamitra:city-day:rishikesh:2030-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2030-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2030-07-13","date_display":"July 13, 2030 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":2030,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462695.770833,"kali_year":5132,"ahargana":1874230.2708,"sun":{"sidereal_longitude":85.9611,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":239.7328,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.7717,"elapsed_within_tithi_degrees":9.7717},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.7328,"elapsed_within_degrees":13.0661},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.6939},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2030,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462695.770833,"ahargana":1874230.2708,"kali_year":5132,"ayanamsa_lahiri":24.2795,"grahas":{"sun":{"sidereal_longitude":86.44806900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":238.165169,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":0.4287},"mars":{"sidereal_longitude":72.986269,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":105.346769,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":203.575969,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":59.89466900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":40.584869000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":234.2608,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":54.2608,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2030,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462695.770833,"kali_year":5132,"ahargana":1874230.2708,"sun":{"sidereal_longitude":85.9611,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":239.7328,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.7717,"elapsed_within_tithi_degrees":9.7717},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.7328,"elapsed_within_degrees":13.0661},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.6939},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.429,"elongation":153.772},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.429,"opposition_distance":26.228}},"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":"19:20","solarNoonLocal":"12:22","dayLengthHours":13.932572947164608,"dayLengthDisplay":"13 Hours 55 Mins 57 Secs","nightLengthDisplay":"10 Hours 04 Mins 03 Secs","moonriseLocal":"17:24","moonsetLocal":"03:35","rahuKala":{"name":"Rāhu Kāla","start":"08:53","end":"10:38","startHours":8.88837391064486,"endHours":10.629945529040437,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:51","startHours":14.113088765831588,"endHours":15.854660384227165,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:24","end":"07:09","startHours":5.405230673853708,"endHours":7.146802292249284,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.65616436152545,"endHours":9.120583459764271,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.985754546652234,"endHours":6.35728982524329,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:50","startHours":11.907098049197192,"endHours":12.835936245674834,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:29","startHours":3.547554280898427,"endHours":4.476392477376068,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.244182928256658,"endHours":5.405230673853708,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.693612638630114,"endHours":15.622450835107754,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.137803621018318,"endHours":19.537803621018316,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.337803621018317,"endHours":19.918327493816843,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.087803621018317,"endHours":20.837803621018317,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:50","startHours":23.90709804919719,"endHours":24.835936245674834,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:24","end":"07:09","startHours":5.405230673853708,"endHours":7.146802292249284,"quality":"inauspicious"},{"name":"Śubha","start":"07:09","end":"08:53","startHours":7.146802292249284,"endHours":8.88837391064486,"quality":"auspicious"},{"name":"Roga","start":"08:53","end":"10:38","startHours":8.88837391064486,"endHours":10.629945529040437,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:22","startHours":10.629945529040437,"endHours":12.371517147436013,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.113088765831588,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:51","startHours":14.113088765831588,"endHours":15.854660384227165,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:36","startHours":15.854660384227165,"endHours":17.59623200262274,"quality":"auspicious"},{"name":"Kāla","start":"17:36","end":"19:20","startHours":17.59623200262274,"endHours":19.337803621018317,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:20","end":"20:36","startHours":19.337803621018317,"endHours":20.59623200262274,"quality":"auspicious"},{"name":"Amṛta","start":"20:36","end":"21:51","startHours":20.59623200262274,"endHours":21.854660384227167,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:07","startHours":21.854660384227167,"endHours":23.113088765831588,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:22","startHours":23.113088765831588,"endHours":24.371517147436013,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"01:38","startHours":24.371517147436013,"endHours":25.629945529040437,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"02:53","startHours":25.629945529040437,"endHours":26.88837391064486,"quality":"inauspicious"},{"name":"Chala","start":"02:53","end":"04:09","startHours":26.88837391064486,"endHours":28.146802292249284,"quality":"neutral"},{"name":"Labha","start":"04:09","end":"05:24","startHours":28.146802292249284,"endHours":29.40523067385371,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.405230673853708,"endHours":6.405230673853708,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.405230673853708,"endHours":7.405230673853708,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.405230673853708,"endHours":8.405230673853708,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.405230673853708,"endHours":9.405230673853708,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.405230673853708,"endHours":10.405230673853708,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.405230673853708,"endHours":11.405230673853708,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.405230673853708,"endHours":12.405230673853708,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.405230673853708,"endHours":13.405230673853708,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.405230673853708,"endHours":14.405230673853708,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.405230673853708,"endHours":15.405230673853708,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.405230673853708,"endHours":16.40523067385371,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40523067385371,"endHours":17.40523067385371,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40523067385371,"endHours":18.40523067385371,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40523067385371,"endHours":19.40523067385371,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40523067385371,"endHours":20.40523067385371,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40523067385371,"endHours":21.40523067385371,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40523067385371,"endHours":22.40523067385371,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40523067385371,"endHours":23.40523067385371,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40523067385371,"endHours":24.40523067385371,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40523067385371,"endHours":25.40523067385371,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40523067385371,"endHours":26.40523067385371,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40523067385371,"endHours":27.40523067385371,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40523067385371,"endHours":28.40523067385371,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40523067385371,"endHours":29.40523067385371,"planetary_lord":"Mercury"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","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":21.83832206681247,"eotMinutes":-5.361428846160681,"ayanamsa":24.2795}},"calendars":{"vikram_samvat":2087,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1952,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1437,"malayalam_era":1206,"nanakshahi_year":561,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Trayodaśī · Vikram 2087 Rudhirodgāri · Śaka 1952 Sādhāraṇa"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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, 2030 CE · Ṛṣikeśa · Vidhyamitra","description":"July 13, 2030 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 05:24, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2030-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2030-07-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2030-07-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2030-07-13","x-default":"https://vidhyamitra.com/city/rishikesh/2030-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:32:52.916Z","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":"2026-05-15T12:32:52.916Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:32:52.916Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}