{"id":"vidhyamitra:city-day:berlin:1998-07-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/1998-07-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1998-07-07","date_display":"July 7, 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":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451001.770833,"kali_year":5100,"ahargana":1862536.2708,"sun":{"sidereal_longitude":80.5462,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":228.2706,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.7244,"elapsed_within_tithi_degrees":3.7244},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.2706,"elapsed_within_degrees":1.604},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.8169},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451001.770833,"ahargana":1862536.2708,"kali_year":5100,"ayanamsa_lahiri":23.8322,"grahas":{"sun":{"sidereal_longitude":80.91726599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":229.369866,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":4.4867},"mars":{"sidereal_longitude":66.67006600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.36776600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":334.022966,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":51.08646599999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":8.432566000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":133.8652,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":313.8652,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":1998,"month":7,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451001.770833,"kali_year":5100,"ahargana":1862536.2708,"sun":{"sidereal_longitude":80.5462,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":228.2706,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.7244,"elapsed_within_tithi_degrees":3.7244},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.2706,"elapsed_within_degrees":1.604},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.8169},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.487,"elongation":147.724},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.487,"opposition_distance":32.276}},"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":"03:52","sunsetLocal":"20:30","solarNoonLocal":"12:11","dayLengthHours":16.626904218882785,"dayLengthDisplay":"16 Hours 37 Mins 37 Secs","nightLengthDisplay":"7 Hours 22 Mins 23 Secs","moonriseLocal":"18:10","moonsetLocal":"02:00","rahuKala":{"name":"Rāhu Kāla","start":"16:20","end":"18:25","startHours":16.338427719792392,"endHours":18.41679074715274,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:01","end":"10:06","startHours":8.024975610350998,"endHours":10.103338637711346,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"14:16","startHours":12.181701665071694,"endHours":14.260064692432042,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:45","end":"08:18","startHours":7.747860540036285,"endHours":8.30209068066571,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:34","end":"05:00","startHours":4.561037231417084,"endHours":5.004421343920625,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:44","startHours":11.627471524442266,"endHours":12.735931805701119,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:39","end":"02:46","startHours":1.6513289931125965,"endHours":2.7597892743714487,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:29","end":"03:52","startHours":2.482674204056736,"endHours":3.8682495556303014,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.952852368218826,"endHours":16.061312649477678,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:18","end":"20:42","startHours":20.295153774513086,"endHours":20.695153774513084,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:30","end":"21:11","startHours":20.495153774513085,"endHours":21.187941450299867,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:15","end":"22:00","startHours":20.245153774513085,"endHours":21.995153774513085,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:44","startHours":23.627471524442267,"endHours":24.735931805701117,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"03:52","end":"05:57","startHours":3.8682495556303014,"endHours":5.9466125829906495,"quality":"inauspicious"},{"name":"Udveg","start":"05:57","end":"08:01","startHours":5.9466125829906495,"endHours":8.024975610350998,"quality":"inauspicious"},{"name":"Chala","start":"08:01","end":"10:06","startHours":8.024975610350998,"endHours":10.103338637711346,"quality":"neutral"},{"name":"Labha","start":"10:06","end":"12:11","startHours":10.103338637711346,"endHours":12.181701665071694,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"14:16","startHours":12.181701665071694,"endHours":14.260064692432042,"quality":"auspicious"},{"name":"Kāla","start":"14:16","end":"16:20","startHours":14.260064692432042,"endHours":16.338427719792392,"quality":"inauspicious"},{"name":"Śubha","start":"16:20","end":"18:25","startHours":16.338427719792392,"endHours":18.41679074715274,"quality":"auspicious"},{"name":"Roga","start":"18:25","end":"20:30","startHours":18.41679074715274,"endHours":20.495153774513085,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"20:30","end":"21:25","startHours":20.495153774513085,"endHours":21.41679074715274,"quality":"inauspicious"},{"name":"Śubha","start":"21:25","end":"22:20","startHours":21.41679074715274,"endHours":22.33842771979239,"quality":"auspicious"},{"name":"Roga","start":"22:20","end":"23:16","startHours":22.33842771979239,"endHours":23.26006469243204,"quality":"inauspicious"},{"name":"Udveg","start":"23:16","end":"00:11","startHours":23.26006469243204,"endHours":24.181701665071692,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:06","startHours":24.181701665071692,"endHours":25.103338637711346,"quality":"neutral"},{"name":"Labha","start":"01:06","end":"02:01","startHours":25.103338637711346,"endHours":26.024975610350996,"quality":"auspicious"},{"name":"Amṛta","start":"02:01","end":"02:57","startHours":26.024975610350996,"endHours":26.946612582990646,"quality":"auspicious"},{"name":"Kāla","start":"02:57","end":"03:52","startHours":26.946612582990646,"endHours":27.8682495556303,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"03:52","end":"04:52","startHours":3.8682495556303014,"endHours":4.868249555630301,"planetary_lord":"Mars"},{"name":"Hora 2","start":"04:52","end":"05:52","startHours":4.868249555630301,"endHours":5.868249555630301,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"05:52","end":"06:52","startHours":5.868249555630301,"endHours":6.868249555630301,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"06:52","end":"07:52","startHours":6.868249555630301,"endHours":7.868249555630301,"planetary_lord":"Moon"},{"name":"Hora 5","start":"07:52","end":"08:52","startHours":7.868249555630301,"endHours":8.868249555630301,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"08:52","end":"09:52","startHours":8.868249555630301,"endHours":9.868249555630301,"planetary_lord":"Venus"},{"name":"Hora 7","start":"09:52","end":"10:52","startHours":9.868249555630301,"endHours":10.868249555630301,"planetary_lord":"Sun"},{"name":"Hora 8","start":"10:52","end":"11:52","startHours":10.868249555630301,"endHours":11.868249555630301,"planetary_lord":"Mars"},{"name":"Hora 9","start":"11:52","end":"12:52","startHours":11.868249555630301,"endHours":12.868249555630301,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"12:52","end":"13:52","startHours":12.868249555630301,"endHours":13.868249555630301,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"13:52","end":"14:52","startHours":13.868249555630301,"endHours":14.868249555630301,"planetary_lord":"Moon"},{"name":"Hora 12","start":"14:52","end":"15:52","startHours":14.868249555630301,"endHours":15.868249555630301,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"15:52","end":"16:52","startHours":15.868249555630301,"endHours":16.8682495556303,"planetary_lord":"Venus"},{"name":"Hora 14","start":"16:52","end":"17:52","startHours":16.8682495556303,"endHours":17.8682495556303,"planetary_lord":"Sun"},{"name":"Hora 15","start":"17:52","end":"18:52","startHours":17.8682495556303,"endHours":18.8682495556303,"planetary_lord":"Mars"},{"name":"Hora 16","start":"18:52","end":"19:52","startHours":18.8682495556303,"endHours":19.8682495556303,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"19:52","end":"20:52","startHours":19.8682495556303,"endHours":20.8682495556303,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"20:52","end":"21:52","startHours":20.8682495556303,"endHours":21.8682495556303,"planetary_lord":"Moon"},{"name":"Hora 19","start":"21:52","end":"22:52","startHours":21.8682495556303,"endHours":22.8682495556303,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"22:52","end":"23:52","startHours":22.8682495556303,"endHours":23.8682495556303,"planetary_lord":"Venus"},{"name":"Hora 21","start":"23:52","end":"00:52","startHours":23.8682495556303,"endHours":24.8682495556303,"planetary_lord":"Sun"},{"name":"Hora 22","start":"00:52","end":"01:52","startHours":24.8682495556303,"endHours":25.8682495556303,"planetary_lord":"Mars"},{"name":"Hora 23","start":"01:52","end":"02:52","startHours":25.8682495556303,"endHours":26.8682495556303,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"02:52","end":"03:52","startHours":26.8682495556303,"endHours":27.8682495556303,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.62055520363348,"eotMinutes":-4.522099904301516,"ayanamsa":23.8322}},"calendars":{"vikram_samvat":2055,"vikram_samvatsara":"Khara","saka_samvat":1920,"saka_samvatsara":"Bahudhānya","bengali_samvat":1405,"malayalam_era":1174,"nanakshahi_year":529,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Trayodaśī · Vikram 2055 Khara · Śaka 1920 Bahudhānya"},"festivals":[{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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":"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 7, 1998 CE · Berlin, Germany · Vidhyamitra","description":"July 7, 1998 CE for Berlin, Germany: Śukla Trayodaśī, sūryodaya 03:52, sūryāsta 20:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/1998-07-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/1998-07-07","sa":"https://sa.vidhyamitra.com/city/berlin/1998-07-07","hi":"https://hi.vidhyamitra.com/city/berlin/1998-07-07","x-default":"https://vidhyamitra.com/city/berlin/1998-07-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:00:02.586Z","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":"2026-05-31T00:00:02.586Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:00:02.586Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}