{"id":"vidhyamitra:city-day:rishikesh:2107-07-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2107-07-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-07-18","date_display":"July 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490823.770833,"kali_year":5209,"ahargana":1902358.2708,"sun":{"sidereal_longitude":88.8741,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":57.1757,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.3016,"elapsed_within_tithi_degrees":4.3016},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.1757,"elapsed_within_degrees":3.8423},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.0497},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2107,"month":7,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490823.770833,"ahargana":1902358.2708,"kali_year":5209,"ayanamsa_lahiri":25.3553,"grahas":{"sun":{"sidereal_longitude":89.56667300000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":56.907872999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":-3.6053},"mars":{"sidereal_longitude":61.43827299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":78.52737300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":44.96777300000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":87.06947300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":257.1540729999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":183.904,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":3.904,"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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490823.770833,"kali_year":5209,"ahargana":1902358.2708,"sun":{"sidereal_longitude":88.8741,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":57.1757,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.3016,"elapsed_within_tithi_degrees":4.3016},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.1757,"elapsed_within_degrees":3.8423},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.0497},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.605,"elongation":31.698},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.605,"opposition_distance":148.302}},"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":"05:27","sunsetLocal":"19:19","solarNoonLocal":"12:23","dayLengthHours":13.86787984632867,"dayLengthDisplay":"13 Hours 52 Mins 04 Secs","nightLengthDisplay":"10 Hours 07 Mins 56 Secs","moonriseLocal":"03:12","moonsetLocal":"17:13","rahuKala":{"name":"Rāhu Kāla","start":"07:11","end":"08:55","startHours":7.179303659635232,"endHours":8.912788640426315,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:23","startHours":10.6462736212174,"endHours":12.379758602008483,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:51","startHours":14.113243582799566,"endHours":15.84672856359065,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:09","startHours":8.68165730965417,"endHours":9.14391997119846,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:24","startHours":6.023647005774509,"endHours":6.393457135009941,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:51","startHours":11.917495940464194,"endHours":12.842021263552772,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:31","startHours":3.596768032666992,"endHours":4.52129335575557,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:27","startHours":4.290162024983426,"endHours":5.445818678844148,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:37","startHours":14.691071909729928,"endHours":15.615597232818505,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.11369852517282,"endHours":19.513698525172817,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:53","startHours":19.313698525172818,"endHours":19.89152685210318,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.063698525172818,"endHours":20.813698525172818,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:51","startHours":23.917495940464192,"endHours":24.842021263552773,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:27","end":"07:11","startHours":5.445818678844148,"endHours":7.179303659635232,"quality":"auspicious"},{"name":"Kāla","start":"07:11","end":"08:55","startHours":7.179303659635232,"endHours":8.912788640426315,"quality":"inauspicious"},{"name":"Śubha","start":"08:55","end":"10:39","startHours":8.912788640426315,"endHours":10.6462736212174,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:23","startHours":10.6462736212174,"endHours":12.379758602008483,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:07","startHours":12.379758602008483,"endHours":14.113243582799566,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:51","startHours":14.113243582799566,"endHours":15.84672856359065,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:35","startHours":15.84672856359065,"endHours":17.580213544381735,"quality":"auspicious"},{"name":"Amṛta","start":"17:35","end":"19:19","startHours":17.580213544381735,"endHours":19.313698525172818,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:19","end":"20:35","startHours":19.313698525172818,"endHours":20.580213544381735,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"21:51","startHours":20.580213544381735,"endHours":21.846728563590652,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:07","startHours":21.846728563590652,"endHours":23.113243582799566,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:23","startHours":23.113243582799566,"endHours":24.379758602008483,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:39","startHours":24.379758602008483,"endHours":25.6462736212174,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"02:55","startHours":25.6462736212174,"endHours":26.912788640426314,"quality":"inauspicious"},{"name":"Udveg","start":"02:55","end":"04:11","startHours":26.912788640426314,"endHours":28.17930365963523,"quality":"inauspicious"},{"name":"Chala","start":"04:11","end":"05:27","startHours":28.17930365963523,"endHours":29.445818678844148,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.445818678844148,"endHours":6.445818678844148,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.445818678844148,"endHours":7.445818678844148,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.445818678844148,"endHours":8.445818678844148,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.445818678844148,"endHours":9.445818678844148,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.445818678844148,"endHours":10.445818678844148,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.445818678844148,"endHours":11.445818678844148,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.445818678844148,"endHours":12.445818678844148,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.445818678844148,"endHours":13.445818678844148,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.445818678844148,"endHours":14.445818678844148,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.445818678844148,"endHours":15.445818678844148,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.445818678844148,"endHours":16.445818678844148,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.445818678844148,"endHours":17.445818678844148,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.445818678844148,"endHours":18.445818678844148,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.445818678844148,"endHours":19.445818678844148,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.445818678844148,"endHours":20.445818678844148,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.445818678844148,"endHours":21.445818678844148,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.445818678844148,"endHours":22.445818678844148,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.445818678844148,"endHours":23.445818678844148,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.445818678844148,"endHours":24.445818678844148,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.445818678844148,"endHours":25.445818678844148,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.445818678844148,"endHours":26.445818678844148,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.445818678844148,"endHours":27.445818678844148,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.445818678844148,"endHours":28.445818678844148,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.445818678844148,"endHours":29.445818678844148,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North-East","anandadiYoga":{"name":"Vajra","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":21.142982815180186,"eotMinutes":-5.85591612050904,"ayanamsa":25.3553}},"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 Trayodaśī · 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},{"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":"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":[]},"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 18, 2107 CE · Ṛṣikeśa · Vidhyamitra","description":"July 18, 2107 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 05:27, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2107-07-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2107-07-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2107-07-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2107-07-18","x-default":"https://vidhyamitra.com/city/rishikesh/2107-07-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T02:25:17.675Z","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":"2026-05-22T02:25:17.675Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T02:25:17.675Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}