{"id":"vidhyamitra:city-day:berlin:1998-07-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/1998-07-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1998-07-26","date_display":"July 26, 1998 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":1998,"month":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451020.770833,"kali_year":5100,"ahargana":1862555.2708,"sun":{"sidereal_longitude":98.5488,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":130.213,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.6643,"elapsed_within_tithi_degrees":7.6643},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.213,"elapsed_within_degrees":10.213},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.7618},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1998,"month":7,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451020.770833,"ahargana":1862555.2708,"kali_year":5100,"ayanamsa_lahiri":23.833,"grahas":{"sun":{"sidereal_longitude":99.04453999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":128.45524,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-0.2075},"mars":{"sidereal_longitude":79.37864000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":123.50353999999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":334.11834,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":73.91014000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":9.383539999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":132.8585,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":312.8585,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":1998,"month":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451020.770833,"kali_year":5100,"ahargana":1862555.2708,"sun":{"sidereal_longitude":98.5488,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":130.213,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.6643,"elapsed_within_tithi_degrees":7.6643},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.213,"elapsed_within_degrees":10.213},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.7618},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.207,"elongation":31.664},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.207,"opposition_distance":148.336}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:16","sunsetLocal":"20:09","solarNoonLocal":"12:13","dayLengthHours":15.890393728865494,"dayLengthDisplay":"15 Hours 53 Mins 25 Secs","nightLengthDisplay":"8 Hours 06 Mins 35 Secs","moonriseLocal":"07:09","moonsetLocal":"21:11","rahuKala":{"name":"Rāhu Kāla","start":"18:10","end":"20:09","startHours":18.168318507385237,"endHours":20.154617723493423,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"14:12","startHours":12.209420859060675,"endHours":14.195720075168861,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:11","end":"18:10","startHours":16.18201929127705,"endHours":18.168318507385237,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:58","end":"08:30","startHours":7.97198253136321,"endHours":8.501662322325394,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:56","end":"05:21","startHours":4.9263237333306575,"endHours":5.350067566100404,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.679741068098494,"endHours":12.73910065002286,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:09","end":"03:12","startHours":2.1455048307791964,"endHours":3.2048644127035626,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:56","end":"04:16","startHours":2.9400245172224713,"endHours":4.264223994627929,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:51","end":"15:55","startHours":14.85781981387159,"endHours":15.917179395795955,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:57","end":"20:21","startHours":19.954617723493424,"endHours":20.354617723493423,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:09","end":"20:49","startHours":20.154617723493423,"endHours":20.816717462196152,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:54","end":"21:39","startHours":19.904617723493423,"endHours":21.654617723493423,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.679741068098494,"endHours":24.739100650022863,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:16","end":"06:15","startHours":4.264223994627929,"endHours":6.250523210736116,"quality":"inauspicious"},{"name":"Chala","start":"06:15","end":"08:14","startHours":6.250523210736116,"endHours":8.236822426844302,"quality":"neutral"},{"name":"Labha","start":"08:14","end":"10:13","startHours":8.236822426844302,"endHours":10.223121642952488,"quality":"auspicious"},{"name":"Amṛta","start":"10:13","end":"12:13","startHours":10.223121642952488,"endHours":12.209420859060675,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"14:12","startHours":12.209420859060675,"endHours":14.195720075168861,"quality":"inauspicious"},{"name":"Śubha","start":"14:12","end":"16:11","startHours":14.195720075168861,"endHours":16.18201929127705,"quality":"auspicious"},{"name":"Roga","start":"16:11","end":"18:10","startHours":16.18201929127705,"endHours":18.168318507385237,"quality":"inauspicious"},{"name":"Udveg","start":"18:10","end":"20:09","startHours":18.168318507385237,"endHours":20.154617723493423,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"20:09","end":"21:10","startHours":20.154617723493423,"endHours":21.168318507385237,"quality":"auspicious"},{"name":"Roga","start":"21:10","end":"22:11","startHours":21.168318507385237,"endHours":22.18201929127705,"quality":"inauspicious"},{"name":"Udveg","start":"22:11","end":"23:12","startHours":22.18201929127705,"endHours":23.195720075168865,"quality":"inauspicious"},{"name":"Chala","start":"23:12","end":"00:13","startHours":23.195720075168865,"endHours":24.20942085906068,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:13","startHours":24.20942085906068,"endHours":25.223121642952492,"quality":"auspicious"},{"name":"Amṛta","start":"01:13","end":"02:14","startHours":25.223121642952492,"endHours":26.236822426844302,"quality":"auspicious"},{"name":"Kāla","start":"02:14","end":"03:15","startHours":26.236822426844302,"endHours":27.250523210736116,"quality":"inauspicious"},{"name":"Śubha","start":"03:15","end":"04:16","startHours":27.250523210736116,"endHours":28.26422399462793,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:16","end":"05:16","startHours":4.264223994627929,"endHours":5.264223994627929,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:16","end":"06:16","startHours":5.264223994627929,"endHours":6.264223994627929,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:16","end":"07:16","startHours":6.264223994627929,"endHours":7.264223994627929,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:16","end":"08:16","startHours":7.264223994627929,"endHours":8.26422399462793,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:16","end":"09:16","startHours":8.26422399462793,"endHours":9.26422399462793,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:16","end":"10:16","startHours":9.26422399462793,"endHours":10.26422399462793,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:16","end":"11:16","startHours":10.26422399462793,"endHours":11.26422399462793,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:16","end":"12:16","startHours":11.26422399462793,"endHours":12.26422399462793,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:16","end":"13:16","startHours":12.26422399462793,"endHours":13.26422399462793,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:16","end":"14:16","startHours":13.26422399462793,"endHours":14.26422399462793,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:16","end":"15:16","startHours":14.26422399462793,"endHours":15.26422399462793,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:16","end":"16:16","startHours":15.26422399462793,"endHours":16.26422399462793,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:16","end":"17:16","startHours":16.26422399462793,"endHours":17.26422399462793,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:16","end":"18:16","startHours":17.26422399462793,"endHours":18.26422399462793,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:16","end":"19:16","startHours":18.26422399462793,"endHours":19.26422399462793,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:16","end":"20:16","startHours":19.26422399462793,"endHours":20.26422399462793,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:16","end":"21:16","startHours":20.26422399462793,"endHours":21.26422399462793,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:16","end":"22:16","startHours":21.26422399462793,"endHours":22.26422399462793,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:16","end":"23:16","startHours":22.26422399462793,"endHours":23.26422399462793,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:16","end":"00:16","startHours":23.26422399462793,"endHours":24.26422399462793,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:16","end":"01:16","startHours":24.26422399462793,"endHours":25.26422399462793,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:16","end":"02:16","startHours":25.26422399462793,"endHours":26.26422399462793,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:16","end":"03:16","startHours":26.26422399462793,"endHours":27.26422399462793,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:16","end":"04:16","startHours":27.26422399462793,"endHours":28.26422399462793,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.513486749349273,"eotMinutes":-6.185251543640582,"ayanamsa":23.833}},"calendars":{"vikram_samvat":2055,"vikram_samvatsara":"Khara","saka_samvat":1920,"saka_samvatsara":"Bahudhānya","bengali_samvat":1405,"malayalam_era":1174,"nanakshahi_year":529,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Tṛtīyā · Vikram 2055 Khara · Śaka 1920 Bahudhānya"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 26, 1998 CE · Berlin, Germany · Vidhyamitra","description":"July 26, 1998 CE for Berlin, Germany: Śukla Tṛtīyā, sūryodaya 04:16, sūryāsta 20:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/1998-07-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/1998-07-26","sa":"https://sa.vidhyamitra.com/city/berlin/1998-07-26","hi":"https://hi.vidhyamitra.com/city/berlin/1998-07-26","x-default":"https://vidhyamitra.com/city/berlin/1998-07-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T04:21:06.795Z","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":"2026-06-02T04:21:06.795Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T04:21:06.795Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}